Differential Calculus

This chapter tells us about real functions. It deals with graphs of trigonometric functions and continuous functions. We will also study the algebra of continuous function and relation between continuity and differentiability.

This chapter helps us in studying derivatives of exponential and logarithmic functions. It explains differentiation by trigonometric transformations and of implicit functions. Differentiation using logarithms and second order derivatives is also discussed.

This chapter deals with the applications of derivatives. It explains Rolle’s and Lagrange’s theorems including error and approximations. It also discusses maxima and minima along with some theorems of tangents and normal.