NCERT Solutions for Class 12 Maths, Chapter 6 - Application of Derivatives

In the last chapter, you learnt how to find a derivative of composite functions, inverse trigonometric functions, implicit functions, exponential functions and logarithmic functions. NCERT Solutions for Class 12, Chapter 6 deals with applications of the derivatives in different fields such as science, social sciences, engineering, and more. For example, now you’ll learn how to use derivatives to find the rate of change of quantities, observe whether a function is increasing or decreasing and how to use derivatives to approximate values of certain quantities.

Let’s take a look at topics and sub-topics of class 12 Maths, Chapter 6 – Application of Derivatives

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

In Class 12 Maths Chapter 6, you will learn – 

Section 6.2 – In this section, you will learn about the rate of change of quantities. For instance, you can calculate the rate of change of ‘y’ with respect to ‘x’ using the rate of change of ‘y’ and that of ‘x’ both with respect to ‘t’.

Section 6.3 – In this section, you will learn how to use differentiation to find out whether a function is increasing or decreasing or none of these.

Section 6.4 – In this section, get an exposure of how to use differentiation to find the equation of the tangent line and the normal line to a curve at a given point.

Section 6.5 – In this section, learn how to use differentials to approximate values of certain quantities.

Section 6.6 – In this section, you will explore the concepts of derivatives to calculate the maximum or minimum values of various functions. You’ll also study the absolute maximum and the absolute minimum of a function that is important for the solution of several applied problems. Besides, you will also learn some important theorems, local maxima, local minima, point of inflection, maximum and minimum values of a function in a closed interval.

For better understanding, examples & solutions are provided along with notes and several activities. To know more about the Class 12 Maths Chapter 6 – Application of Derivatives, you should explore the exercises below. You can also download the Application of Derivatives Class 12 NCERT Solutions PDF, solved by expert Maths trainers.