Calculus - A. Continuity and Differentiability

This chapter emphasises the limit of a function [Part-II]. We will learn theorems on the limits and limits of a function here. Some standard limits, exponential function, and logarithmic function are also discussed.

This chapter provides knowledge of continuity. The historical background of continuity is explained here. Students will learn about the properties of continuity here. Various practice questions are also provided for their understanding.

This chapter throws light on differentiation. We will understand the properties of derivatives. Derivability and continuity and differentiation of inverse trigonometric function are covered. We will also understand logarithmic differentiation here.

This chapter features the second-order differentiation of a function. The second-order derivative of a function, its definition, and graphical representation are explained here. Students will learn about second-order derivatives through examples.

This chapter discusses Rolle's theorem and Lagrange's mean value theorem. We will understand the geometrical interpretation of Rolle’s theorem, Lagrange's mean value theorem, its geometrical interpretation, and physical interpretation here.