Chapter Overview:

Chapter 5, Continuity and Differentiability, is a fundamental chapter in calculus and plays a crucial role in understanding the behavior of functions. It builds upon the concepts of limits and derivatives studied in Class 11 and introduces advanced topics like chain rule, derivatives of inverse trigonometric functions, logarithmic and exponential functions, and the concept of differentiability. Mastery of this chapter is essential for board exams and competitive exams like JEE.

What You’ll Learn in This Chapter:

• Meaning and definition of continuity and differentiability

• Checking continuity of functions at a point and over an interval

• Differentiability and its relation with continuity

• Derivatives of composite, implicit, and inverse trigonometric functions

• Logarithmic differentiation

• Derivatives of exponential and logarithmic functions

• Second-order derivatives

Why Use These NCERT Solutions:

Our detailed NCERT solutions for Chapter 5 help students:

• Understand every concept with clarity

• Learn proper techniques for solving derivatives step by step

• Practice a wide range of questions with accurate explanations

• Build a strong foundation for advanced calculus topics

Each solution is presented in a clear, logical, and student-friendly manner to enhance understanding and retention.

Key Benefits:

• Covers all exercises and examples from the NCERT textbook

• Step-by-step breakdown of every problem

• Designed by subject experts

• Free access for self-paced learning

• Excellent resource for CBSE board and entrance exam preparation