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NCERT Solutions for Class 12 Maths, Chapter 5 - Continuity and Differentiability

In Class 11th, you have studied the differentiation of functions and learnt to differentiate
trigonometric and polynomial functions. In Class 12, Chapter 5 – Continuity and
Differentiability, you’ll study significant concepts such as continuity, differentiability
and relations between them, exponential and logarithmic functions and techniques of
differentiation. You will also get an idea of how to represent differential calculus
graphically and some essential theorems related to differentiability.

Let’s take a look at topics and sub-topics of Class 12 Maths, Chapter 5 - Continuity and Differentiability

5.1 Introduction
5.2 Continuity
5.3 Differentiability
5.4 Exponential and Logarithmic Functions
5.5 Logarithmic Differentiation
5.6 Derivatives of Functions in Parametric Forms
5.7 Second Order Derivative
5.8 Mean Value Theorem

In Class 12 Maths Chapter 5, you will learn –

Section 5.2 – In this section, you’ll learn what continuity is, algebra of continuous
functions, some important theorems, the value of a function and point of discontinuity.

Section 5.3 – In this section, you’ll get an in-depth knowledge of a real function,
derivatives of composite functions, the chain rule, derivatives of implicit functions and
derivatives of inverse trigonometric functions.

Section 5.4 – In this section, you’ll study exponential functions and logarithmic
functions, salient features of the exponential functions, natural exponential functions,
logarithmic functions and some striking properties of the natural exponential functions.

Section 5.5 – In this section, you’ll learn about logarithmic differentiation and how to
differentiate the certain special class of functions.

Section 5.6 – This section gives you exposure to derivatives of functions in parametric
forms (where the parameter refers to the third variable establishing a relation between
the first two variables).

Section 5.7 – In this section, you’ll learn what second-order derivative is all about.

Section 5.8 – In this section, you’ll learn about two fundamental results in Calculus and
geometrical interpretations of some important theorems such as Rolle’s Theorem and
Mean Value Theorem.

To know more about the Class 12 Maths Chapter 5 Continuity and Differentiability, you should explore the exercises below. You can also download the Continuity and Differentiability Class 12 NCERT Solutions PDF, solved by expert Maths trainers.

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