## Continuity And Differentiability

Complete Syllabus of Class 12 Maths Chapter 5 Continuity and Differentiability:

Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.

NCERT Exercise 5.1

NCERT Exercise 5.2

NCERT Exercise 5.3

NCERT Exercise 5.4

NCERT Exercise 5.5

NCERT Exercise 5.6

NCERT Exercise 5.7

NCERT Exercise 5.8

NCERT Miscellaneous Exercise

NCERT Chapter 5 Examples

YouTube Playlist## Lecture - 1

- How to check continuity and discontinuity in a graph of a function through limits.
- NCERT Exercise 5.1 (Q6 to Q25)

## Lecture - 5

- NCERT Exercise 5.2 (Q1 to Q8)
- Explicit and Implicit functions
- NCERT Exercise 5.3 (Q1 to Q15)
- Derivative of inverse trigonometric functions
- Example 26 and Example 27

## Lecture - 6

- NCERT Exercise 5.4 (Q1 to Q10)
- Logarithmic Differentiation
- NCERT Exercise 5.5 (Q1 to Q3)

## Lecture - 9

- What are parametric functions and how to find their derivatives
- NCERT Exercise 5.6 (Q1 to Q11)

## Lecture - 10

- Second order derivatives or double derivative
- NCERT Exercise 5.7 (Q1 to Q17)

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