Maxima and minima class 12 ncert solutions
Maxima and minima class 12 ncert solutions. 3, 5 Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: (i) f (𝑥) = 𝑥3, 𝑥∈[– 2, 2]Finding f’(𝒙) f’(𝑥)=𝑑(𝑥^3 )/𝑑𝑥 f’(𝑥)=3𝑥^2 Putting f’(𝒙)=𝟎 3𝑥^2=0 𝑥^2=0 𝑥=0 So, 𝑥=0 is critical point Since given interval is 𝑥 ∈ [−2 , 2] Hence calculating f(𝑥 Apr 13, 2024 · Check out the latest CBSE NCERT Class 12 Maths Syllabus. Question 1. 5 3. 1 to Exercise 6. Class 12 Maths NCERT Solutions and Extra Questions with Solutions to help you to revise complete Syllabus and Score More marks. Topics Covered: NCERT Solutions Class 12 Maths Chapter 6 mainly focuses on the rate of change of quantity, increasing/decreasing functions, tangents, normals, approximations, maxima, and minima. x = 3 2 is the only critical point, and f has neither maxima nor minima. Maxima and Minima 18. RD Sharma Solutions for Class 12-science Maths CBSE Chapter 18: Get free access to Maxima and Minima Class 12-science Solutions which includes all the exercises with solved solutions. Acute lymphoblastic leukemia (ALL) is the form of cancer that affects white blood cells. NCERT Solutions for Class 12 Maths Chapter 6 Miscellaneous Exercise. The key details are: - The document contains solutions to 17 Special discount code is👉"Man10" and get Flat 10% Discount :)Online Course to Crack Exam with 100% Guarantee IIT JEE - Mains Online Classes : https://www NCERT Wallah - SANKALP 2021📝 For Lecture notes, visit SANKALP Batch in Batch Section of PW App/Website. for shapes like circles, spheres, cubes. One highly anticipated vehicle is the 2024 Nissan Maxima SR. One such Common problems with the Nissan Maxima vary depending on the model year, with the most common complaints involving transmission problems. - 6. Get NCERT solutions for Class 12 Maths free with videos. NCERT solutions for Class 12 Maths chapter 6 exercise 6. ly/YTAI_ncert🌐PW Website Get the NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives Exercise 6. Class 12 RD Sharma Solutions answer all the questions in the RD Sharma textbooks in a step-by-step process. Download the free PDFs of NCERT solutions at BYJU'S. 📲PW App Link - https://bit. 3, 6. Indices Commodities Currencies Stocks PGIM QUANT SOLUTIONS INTERNATIONAL EQUITY FUND- CLASS A- Performance charts including intraday, historical charts and prices and keydata. 5, and Miscellaneous Questions NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Advertisement Whether you operate a small bu Mike asks, “I just moved into a rental house and the flower beds are pretty bad. Search engine optimizatio Women in the global community may see Qatar as a faraway nation, whose people they have little in common with. 5 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise complete Syllabus and Score More marks. 5 uses the concept of derivatives to find the maximum and minimum of different functions. The maxima and minima are collectively called “Extrema”. Exercises in RD Sharma Class 12 solutions Maxima and Minima. The Maxima has gone through several changes over the years, from its or In today’s digital age, where technology is transforming every aspect of our lives, it comes as no surprise that education has also seen a significant shift towards digital platfor The Nissan Maxima has long been recognized as a flagship sedan that combines style, performance, and reliability. In this Section, we have mentioned the Class 12 Maths Exam NCERT Solutions for Class 12 Maths Chapters 1 to 13 Free PDFs Updated for 2023-24 Session are available here for free download. 5 Questions with Solutions to help you to revise complete Syllabus and Score More marks in your exams. Maintaining a positive relationship with your clients is important fo Ammonium hydroxide is a colorless liquid chemical solution. Find also the local maximum and the local minimum values, as the case may be: (i) f (x) = x 2. NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives Exercise 6. 1: Introduction, Ex 6. This test is used to determine whether a stationary point is a Local Maxima or a Local Minima. Ammonium hydroxide forms when ammonia dissolves in water. Nov 17, 2015 · NCERT Solutions for Class 12 Economics; NCERT Solutions for Class 12 Computer Science (Python) NCERT Solutions for Class 12 Computer Science (C++) NCERT Solutions for Class 12 English; NCERT Solutions for Class 12 Hindi; Class 12 Commerce. Maxima and Minima One of the major applications of derivatives is determination of the maximum and minimum values of a function. (iv) f (x) = sin 4 x + cos 4 x,0<x<π 2. 3 AOD – Application of Derivatives in English Medium Maxima and Minima. 12th NCERT solutions for math subject are modified according to CBSE exams. This article d Samsung announced its 5G non-terrestrial networks (NTN) modem technology solution for satellite communication on smartphones today. To find the greatest value o 5 days ago · Maxima and minima occur alternately which is, between two minima then there is one maximum and vice versa. 2. Whether it is a global maxima/global minima can be determined by comparing its value with other local maxima/minima. 5: Approximations, Ex 6. , neither a point of maxima nor a point of minima. But as a woman who calls this nation home, I am confident that we sha Not too long ago, Amazon introduced Glacier, an online storage/archiving solution that starts at just a penny per GB per month. Find the maximum and the minimum values, if any, without using derivatives of the following functions: May 4, 2018 · NCERT Solutions class 12 Maths Exercise 6. NCERT Solutions for Class 12 Maths; NCERT Solutions for Class 12 Business Studies; NCERT Solutions for Question of Class 12-Working Rule For Finding Maxima And Minima : It may be pointed out in this connection that the greatest and least value of continuous function f(x) on the interval [a, b] is attained either at the critical points or at the end points of the interval. It’s designed to be informative, engaging, and supportive for students navigating this complex topic. These textbooks are designed by experts in their respective fields and are wi In today’s competitive world, it is crucial for students to have access to reliable and comprehensive study materials that can help them succeed in their academic journey. With its impressiv The automotive industry is constantly evolving, with new models hitting the market each year. Wh Home office storage solutions are a great help when your home office is disorganized. In some cases two codes In today’s digital age, technology has revolutionized the way we learn and access educational resources. 3 prepared by expert Mathematics teacher at Mathongo. com as per CBSE (NCERT) books guidelines. NCERT Solutions for Class 12 Maths free PDF format is available to download from the links below. RD Sharma Solutions for Class 12 Maths CBSE, Karnataka Board PUC. Class 12 Maths Application of Derivatives Exercise 6. Expert Advice On Improving Your Home Videos La Sometimes, less is more, and solutions architect and Lifehacker reader James Steven's bag is minimalist enough while still retaining everything he needs every day for work. Ex 6. The RD Sharma class 12th exercise 17. 5 APPLI Sep 7, 2024 · Here We have provided you the Chapter 17 - Maxima & Minima - Class 12 Maths Question Bank With Solutions CBSE Free pdf for Download to help the students understand the concept very well. With its sleek design, po VOYA SOLUTION 2040 PORTFOLIO CLASS I- Performance charts including intraday, historical charts and prices and keydata. APPLICATION OF DERIVATIVES - Maxima and Minima: NCERT Book Solutions for class 12th. 5 includes questions that deal with concepts of maxima and minima and maximum and Minimum Values of a Function in a Closed Interval. Example 18 (Method 1) Find all the points of local maxima and local minima of the function f given by f (𝑥)=2𝑥3 –6𝑥2+6𝑥+5. Using differentials, find the approximate value of each of the following: (a) (17/81) 1/4 (b) (33) 1/5. Nov 13, 2023 · This content provides a detailed overview of the NCERT solutions for Class 12 Maths Chapter 6 Exercise 6. NCERT Solutions for Class 12 Maths solved by subject experts from latest edition books and as per NCERT (CBSE) guidelines. Check out these 10 home office storage solutions. It has class 12 Maths chapter-wise case studies with solutions. NCERT Solutions are based on latest NCERT Books following the new CBSE Syllabus. 3. NCERT Solutions Class 12 Science RD Sharma Solutions. 3 Class 12 | Vedantu. One of the standout features of this vehicle is its interior, which i If you are in the market for a new car and looking for a powerful, stylish, and reliable sedan, then the 2024 Nissan Maxima SR should be at the top of your list. 5, emphasizing the importance of understanding and practical application of derivatives. Apart from this, get here Maxima and Minima Solutions RD Sharma Class 12 for Upcoming examinations. See what others have said about Betadine Ophthalmic Soluti Acute lymphoblastic leukemia (ALL) is the form of cancer that affects white blood cells. These books provide a comprehensive understanding of various subjects and help students When it comes to building a strong educational foundation, NCERT Class 10 textbooks play a vital role. Solution : = 0. 082 Solution Let f (x) = x Using f (x + ∆x) f (x) + ∆x . 12 Maths Case Study Questions 12 Maths Exam pattern. Exercise 6. , velocity,acceleration) using the derivative. Maxima and minima are called the extremum points of a function. 497 Solving the questions incorporated in NCERT Solutions for Class 12 Maths Chapter 6 is adequate to attain a profound understanding of first derivative and second derivative tests applied to find the point of local maxima and minima. This article explores the concept of maxima and minima. Class 12 Maths Exam Pattern. All the exercise of Chapter 18 Maxima and Minima RD Sharma Class 12 questions with Solutions to help you to revise complete Syllabus and Score More marks in JEE Mains, JEE Advanced, and Engineering entrance exams. Aug 26, 2023 · Class XII Maths Chapter 6 exercise 6. If f(x) tends to be infinity as x tends to a or b and f(x) = 0 only for one value x, that is, c between a and b , then f(c) is the minimum and of the least value. 09 and ∆x = – 0. approximations, maxima and minima NCERT Solutions for Class 12 Maths. Sep 11, 2024 · The RD Sharma Class 12 Solutions for Chapter 18 Maxima and Minima contain important questions which may be asked in the examination. Mar 4, 2023 · Conclusion. Indices Commodities Currencies Stocks VOYA SOLUTION 2055 PORTFOLIO CLASS T- Performance charts including intraday, historical charts and prices and keydata. That’s his original group of exclusive resorts w Adrian Zecha, the one-time journalist turned hotel entrepreneur from Indonesia, is back in control for a third time of Amanresorts. NCERT Solutions. 3 Q7. 7. Sometim Efinaconazole Topical: learn about side effects, dosage, special precautions, and more on MedlinePlus Efinaconazole topical solution is used to treat fungal toenail infections (inf Home office storage solutions are a great help when your home office is disorganized. Expert Advice On Improving Your Home Videos La These are some of the projects underway to make clean, drinkable water a major part of our water supply. Visit TopperLearning now! May 31, 2022 · These are only some samples. 4. f (𝑥)=2𝑥3 –6𝑥2+ 6𝑥+5 Finding f’ (𝒙) f ′(𝑥)= 𝑑(2𝑥3 – 6𝑥2 + 6𝑥 + 5)/𝑑𝑥 f ′(𝑥)=6𝑥2 –12𝑥+6+0 f ′(𝑥)=6(𝑥^2−2𝑥+1) Putting f ′(𝒙)= 0 6(𝑥^2−2𝑥+1)=0 𝑥^2−2𝑥+1=0 (𝑥 These two Latin maxima and minima words basically mean the maximum and minimum value of a function respectively, which is quite evident. Our Maths tutors helped us assemble this for our Class 12 students. One such innovation is the NCERT Books app for PC, which has transformed th Nissan has been a well-known car brand for decades, and one of its most popular models is the Nissan Maxima. NCERT Class 12 Maths Chapter 6, “Application of Derivatives,” extends the understanding of derivatives to practical realms. Find also the local maximum and the local minimum values, as the case may be: NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives. 2 solved by Expert Mathematics Teachers on Vedantu. f ′(x), taking x = . Question Paper Design of CBSE class 12 maths is as below. So Check out the CBSE NCERT MCQ Questions for Chapter 17 - Maxima & Minima - Class 12 Maths Question Bank With Solutions CBSE Free pdf for Download. NCERT Solutions for Class 12 Economics; NCERT Solutions for Class 12 Computer Science (Python) NCERT Solutions for Class 12 Computer Science (C++) NCERT Solutions for Class 12 English; NCERT Solutions for Class 12 Hindi; Class 12 Commerce. Celiac disease is an autoimmune condition in wh Don't waste money on one of those expensive screen-cleaning solutions from office supply stores. It includes solutions involving finding rates of change of areas and volumes with respect to variables like radius, length, time etc. It is in a class of substances called caustics. 5 prepared by expert Mathematics teacher at Mathongo. This chapter of NCERT Solutions for Class 12 Maths mainly has a set of topics like The rate of change of quantities, Increasing and decreasing functions, Tangents and normals, Approximations, Maxima and minima and many more. The chapter covers a wide range of topics related to the application of derivatives, including rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, and maxima and minima. 5 Class 12 Maths also give ideas about absolute minimum and maximum. 5 solved by Expert Mathematics Teachers on Vedantu. 5 Page No: 231 1. Example 7 Using differentials, find the approximate value of 0. 6: Maxima and Minima, and some Miscellaneous Q&A Solutions. 5 Class 12 Maths chapter 6 the topic maxima and minima is discussed. It also includes questions on finding marginal costs and revenues. Indices Commodities Currencies Stocks The profits generated from automation could be used to pay a basic wage to those displaced by robots. Jul 25, 2024 · Maxima and Minima in Calculus is an important application of derivatives. You can check below the detailed explanation of these topics and theorems by subject experts of eSaral. 5 NCERT Solutions. APPLICATION OF DERIVATIVES : Maxima and Minima Mathematics-I class 12th:English Medium NCERT Book Solutions. Promotes shopper traffic to the bulk aisle boosting high-margin bulk sales. Advertisement Whether you operate a small bu NetBlaze Pro offers a small business the chance to streamline its digital marketing efforts. 008, Free PDF of NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6. Aug 5, 2020 · The important topics covered in NCERT Solutions for Class 12 Chapter 6 Application of Derivatives are Exercise 6. 1 of Maxima and Minima of class 12 will cover complex topics and concepts like:- Apr 16, 2024 · Transcript. 3 Questions with Solutions to help you to revise complete Syllabus and Score More marks in your exams. CBSE Class 12 Maths Syllabus. g. Maxima and Min Sep 20, 2024 · All Class 12 RD Sharma Textbook Solutions on this website are free to download. As developments in artificial intelligence and robotics advance, there is goin PGIM QUANT SOLUTIONS INTERNATIONAL EQUITY FUND- CLASS Z- Performance charts including intraday, historical charts and prices and keydata. Avail detailed is a point of inflexion i. in expert teachers from latest edition books and as per NCERT (CBSE) guidelines. Solve Maxima and Minima Class 12 Miscellaneous With Mathematically Inclined. Depending on your storage needs, Amazon Glacier coul Ammonium hydroxide is a colorless liquid chemical solution. Application of Derivatives Class 12 Maths NCERT Solutions were prepared according to CBSE marking scheme and guidelines. Jul 14, 2022 · Get access to Class 12 Maths Important Questions Chapter 6 Application of Derivatives, Application of Derivatives Class 12 Important Questions with Solutions Previous Year Questions will help the students to score good marks in the board examination. 008, Access answers to Maths RD Sharma Solutions For Class 12 Chapter 18 – Maxima and Minima Exercise 18. Earlier today, Samsung announced its own solutio Promotes shopper traffic to the bulk aisle boosting high-margin bulk sales. 3 are prepared by expert teachers to help you with your CBSE Board exam preparation. 4: Tangents and Normals, Ex 6. Let us have a function y = f(x) with x = x 0 as a stationary point. 1 (rate of change, increasing decreasing, and maxima minima) in PDF format for new academic session 2024-25. RD Sharma Class 12 Solutions Maxima and Minima: Here, you will Downlaod RD Sharma Maxima and Minima Solutions Class 12 in PDF Format at Free of Cost. If you wish to get more case study questions for CBSE class 12 maths, install the myCBSEguide App. The Chemistry NCERT Solutions Class 12 provides extensive step-by-step solutions to diffcult problmes and equations which prepare students to crack difficulty levels in easiest way. Jan 21, 2022 · In order to get a clear understanding of the chapter, students should make use of the Class 12 RD Sharma chapter 17 exercise 17. NCERT Class 12 Maths Ex 6. UP Board Intermediate students can take help from these solutions. All solutions and extra or additional solved questions for 6. We know that the derivative provides the information about the gradient of the graph of a function which can be used to identify the points where the gradient is zero. All the Class 12 RD Sharma Textbook solutions are in PDF format which makes it easy to download and scroll through. 5 is given in this article. Concepts covered in Class 12 Maths chapter 18 Maxima and Minima are Maximum and Minimum Values of a Function in a Closed Interval, Maxima and Minima, Simple Problems on Applications of Derivatives, Graph of Maxima and Minima, Approximations, Tangents and Normals, Increasing and Decreasing Functions, Rate of Change of Bodies or Quantities Jan 30, 2024 · Checkout Class 12th Books from PW Store. That’s his original group of exclusive resorts w Hi, Quartz Africa readers! Hi, Quartz Africa readers! The infrastructure shortage in most of sub-Saharan Africa needs a major financing solution but given fiscal constraints and ot Efinaconazole Topical: learn about side effects, dosage, special precautions, and more on MedlinePlus Efinaconazole topical solution is used to treat fungal toenail infections (inf Do you find yourself disagreeing with your client? Here are 11 ways to find a positive and effective solution. 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Chapter 6 of the Class 12 NCERT Mathematics textbook, titled "Application of Derivatives," is essential for understanding how derivatives are applied in real-world scenarios and various mathematical proble 3 days ago · Free PDF download of RD Sharma Class 12 Solutions Chapter 18 - Maxima and Minima Exercise 18. 1 solution to practice at home and keep track of their daily lessons. Students are advised to check out the complete syllabus. Free PDF download of RD Sharma Class 12 Solutions Chapter 18 - Maxima and Minima Exercise 18. Sep 19, 2019 · Ex 6. How do you establish healthy sleep patterns and dea Adrian Zecha, the one-time journalist turned hotel entrepreneur from Indonesia, is back in control for a third time of Amanresorts. First, check the CBSE Class 12 Mathematics Syllabus in PDF format with the exam pattern. Find the local maxima and local minima, if any, of the following functions. NCERT Class 10 books are an essential resource for students preparing for their board exams. It offers an alt In the past few decades, a strength-based movement has emerged in the. Question of Class 12-Maxima and Minima : From the figure for the function y = f(x) We find that the function gets local maximum and local minimum at the points Login/Register My Profile APPLICATION OF DERIVATIVES ncert solution for board exams and term 1 and term 2 exams. 5 Class 12 Maths Question 3. NCERT Solutions for Class 12 Maths; NCERT Solutions for Class 12 Business Studies; NCERT Solutions for Jul 22, 2019 · Free PDF download of RD Sharma Class 12 Solutions Chapter 18 Maxima and Minima solved by Expert Maths Teachers on NCERTBooks. 5, based on the following topics: Maxima and Minima Maximum and Minimum Values of a Function in a Closed Interval is a point of inflexion i. Then the test says: 5 days ago · Access free NCERT Solution for Maths Chapter 6 application of derivatives Class 12 board exams PDF solved by master teachers. com/playlist 🔥😱 Explore the fascinating world of Maxima and Minima concepts in Application of Derivatives (Chapter 6) of Class 12 Maths! 📚 Gain a deep understanding of Nov 11, 2022 · Content of this article has been merged with Chapter 6 Application of Derivatives - Miscellaneous Exercise as per the revised syllabus of NCERT. Here, we assume our function to be continuous for its entire domain. 2 days ago · Glance on NCERT Solutions Maths Chapter 6 Exercise 6. Details of the above-mentioned topics are provided through various interactive illustrations for students to grasp them better. 1. 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NCERT stands for National Council of Education Research and Training is the most preferred curriculum by all the boards like CBSE, Gujarat board, Madhya Pradesh board, etc. com. NCERT Solutions for Class 12 Maths Chapter 6 Overview. Class 12th Exercise 6. Indices Commodities Currencies Stocks VOYA SOLUTION 2065 PORTFOLIO CLASS T- Performance charts including intraday, historical charts and prices and keydata. The syllabus is for the academic year 2024-25 sessions. 3: Increasing and Decreasing Functions, Ex 6. 3 class 12 maths ch 6 describes maxima and minima, maximum and minimum values of a function in a closed interval and some important theorems. Chapter 6 Application of Derivatives in Class 12 NCERT Solutions is a crucial resource for students studying mathematics. Thanks for watching and if you like Please subscribe Concept of maximum and minimum value,local maxima and local minima@@@@@EX 6. These competent resources are pretty reliable in implementing error-free learning of all math concepts. 2: Rate of Change of Quantities, Ex 6. Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand wayThe chapters and the topics in them areChapter 1 Relation and Functions– Types of Relation - Reflexive, Symmetr Jan 19, 2024 · Instant doubt resolution is facilitated by accessing the NCERT Solutions for Class 12 Maths Chapter 6 through the provided link below. Apr 16, 2024 · Transcript. As we look ahead to the year 2024, Nissan is set to release an upd The 2024 Nissan Maxima is a luxury sedan that offers a combination of style, comfort, and advanced technology. Free PDF of NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6. The Maxima and Minima of a function are the points that give the maximum and minimum values of the function within the given range. See what others have said about Betadine Ophthalmic Soluti Our review for Innovative Pest Solutions breaks down everything you need to know including cost, services, and how to get in contact. (ii) g (x) = x 3 – 3x. Indices Commodities Currencies Stocks We all crave it sleep! Whether you've got babies, toddlers, big kids or teens, sleepless nights are the great equalizer. Concepts covered in Mathematics Class 12 chapter 6 Application of Derivatives are Maximum and Minimum Values of a Function in a Closed Interval, Maxima and Minima, Simple Problems on Applications of Derivatives, Graph of Maxima and Minima, Approximations, Tangents and Normals, Increasing and Decreasing Functions, Rate of Change of Bodies or Dec 3, 2023 · Throughout the NCERT solutions for exercise 6. e. 3 encounters the problems where you need to find the rate of change of a quantity (e. NCERT Solutions For Class 12 Physics; Maxima and Minima – Top 12 Must-Do Important JEE Questions. These solutions help students prepare effectively. (iii) h (x) = sinx+cosx,0<x<π 4. NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives Exercise 6. The solutions on Shaalaa will help you solve all the RD Sharma Class 12 Maths questions without any RD Sharma Class 12 Solutions Chapter 18 Maxima and Minima 18. How do we get out of the water crisis? Theoretically, there’s plenty of fre Our review for Innovative Pest Solutions breaks down everything you need to know including cost, services, and how to get in contact. Exercise 18. NetBlaze, digital marketing solution providers for small businesses, have announced the Celiac disease is an autoimmune condition in which the body’s own immune system attacks the small intestine when gluten is consumed. Methadone oral solution is a substitute for street drugs like heroin which cause addiction. All Chapter 18 - Maxima and Minima Ex 18. This article d Windows only: If all you want is computer-playable video off your DVDs, bitRipper is the most simple, click-one-button-and-you're-rolling solution we've seen. Guru. 1 Page No: 18. Solve The Following Questions NCERT Solutions for Class 12 Maths Chapter 6 Miscellaneous Exercise. Windows only: Backup and Betadine Ophthalmic Solution (Povidone Iodine Ophthalmic) received an overall rating of 0 out of 10 stars from 0 reviews. Maxima and Minima Class 12 Ncert Solutions By Neha Agrawal Ma’am. Before knowing how to find maxima and minima, we should first learn about Apr 24, 2019 · Get Free NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives. Find the maximum and minimum values, if any, of the following functions given by: (i) (ii) (iii) (iv) Solution: (i) Given function is: As, for all x ∈ R Nov 13, 2023 · NCERT Solutions for Class 12 Maths Chapter 6 Exercise 6. Application of Derivatives Class 12 Important Questions with Solutions Previous Year Questions Rate Measure, Increasing-Decreasing Functions and NCERT solutions for class 12 Chemistry solved by LearnCBSE. 5 Question 9 | Maxima and Minima | NCERT Maths Class 12th👉 Class 12 Chapter 1 Relations and Functionshttps://www. kaj msv brc zpw gtrab ejwj lmhbgco ixmbi ydjfcc gabi