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# NCERT Solutions for Class 12 Maths Chapter 6 Free PDF Download

## NCERT Solutions for Class 12 Maths Chapter 6 – Application of Derivatives

CBSE  prefer  NCERT books to you in class 12 which is Board for these NCERT solutions for class 12 maths chapter 6 is the best guide for you with detailed study material including the important topics. Those appearing for the board examinations can refer the NCERT Solutions while you are solving the questions from the textbook.

Our NCERT solutions for class 12 maths chapter 6 are important for you as you can get to know the answers to the questions in case you are not able to find it. It is also important for you to find all the solutions at one single place.

NCERT solutions for class 12 maths chapter 6 are provided which are prepared by our expert faculties to help you in board exam preparations. These solutions help you to solve the problems easily and are prepared according to the CBSE syllabus and exam pattern so that you score good marks in exams.

NCERT solutions for class 12 maths chapter 6 provides a detailed and stepwise explanation of each answer to the questions given in the exercises of the Class 12 NCERT textbook and with Toppr app, you can download it for free.

### CBSE Class 12 Maths Chapter 6 – Application of Derivatives NCERT Solutions

In NCERT solutions for class 12 maths chapter 6, you will learn the application of derivatives, finding rate of change, show increasing/decreasing in whole domain, in intervals, find intervals of increasing/decreasing, Rolle’s theorem, Lagrange’s Mean Value theorem, finding slope of tangent/normal, point when tangent is parallel/ perpendicular, when point and curve is known, when slope and curve are known, approximate value of numbers, function, minimum and maximum values from graph, local maxima and minima, absolute minima/maxima. ### Sub-topics covered under NCERT Solutions for Class 12 Maths Chapter 6

• 6.1 – Introduction
• 6.2 – Rate of Change of Quantities
• 6.3 – Increasing and Decreasing Functions
• 6.4 – Tangents and Normals
•  6.5 – Approximations
• 6.6 – Maxima and Minima
• 6.6.1 – Maximum and Minimum Values of a Function in a Closed Interval

### NCERT Solutions for Class 12 Maths Chapter 6

In NCERT solutions for class 12 maths chapter 6 you will learn the rate of change of quantities, increasing and decreasing functions, tangents, and normals, Rolle’s theorem, Lagrange’s Mean Value theorem, approximations, maxima, and minima. Let us now discuss the subtopics include in this chapter.

6.1 – Introduction

In this section, you will learn how the derivatives of number and functions are applied and used.

6.2 – Rate of Change of Quantities

In this, you will study the change of quantity with respect to another quantity by some rules, change of two quantities with respect to another quantity by the chain rule.

6.3 – Increasing and Decreasing Functions

In this you will study about whether the function is increasing, strictly increasing, decreasing, or strictly decreasing.

6.4 – Tangents and Normals

In this section, you will learn to use differentiation to find the equation of the tangent line and the normal line to a curve at a given point, different cases, Rolle’s Theorem, Lagrange’s Mean Value Theorem

6.5 – Approximations

In this, you will learn to use differentials to approximate values of certain quantities.

6.6 – Maxima and Minima

In this, you will learn to use the concept of derivatives to calculate the maximum or minimum values of a function, points of local maxima and minima, first derivative test, second derivative test.

6.6.1 – Maximum and Minimum Values of a Function in a Closed Interval

In this, you will learn to find the absolute maxima, absolute minima of a function in a closed function.

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