Differential Calculus

In this chapter, we will learn about functions. It explains the basic functions, their types, representation and graph. Further, it explains inverse functions and piece-wise defined functions.

This chapter discusses the concept of limits. It explains the methods of factorization and rationalization. We will also understand the limits of exponential, logarithmic functions, and limit at infinity.

This chapter explains continuity. It discusses the continuity of a function at a point, and continuity from the right and the left. It further highlights the properties of continuous functions and types of discontinuities.

In this chapter, we will learn about differentiation and its rules. It highlights the definition of derivative and differentiability. Further, it discusses the relations between continuity and differentiability.