This chapter is a build up of a chapter introduced in class 11, Differentiation of Functions. It talks about continuity, differentiability and states the relationship between them. The chapter further deals with continuity and differentiability of Inverse Trigonometric Functions and introduces logarithm and exponential functions.

Topics and Sub Topics Class 12 Maths Chapter 5 – Continuity and Differentiability:

• 5 – Continuity and Differentiability
• 5.1 Introduction
• 5.2 Algebra of continuous functions
• 5.3 Differentiability
• 5.4 Derivatives of composite functions
• 5.5 Derivatives of implicit functions
• 5.6 Derivatives of inverse trigonometric functions
• 5.7 Exponential and Logarithmic Functions
• 5.8 Logarithmic Differentiation
• 5.9 Derivatives of Functions in Parametric Forms
• 5.10 Second-Order Derivative
• 5.11 Mean Value Theorem
• 5.12 Summary

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