Continuity and Differentiability

This topic covers concepts such as Continuity of a Function, Continuity of a Function at a Point, Discontinuity of a Function, Removable and Non-Removable Discontinuities, Ways to Remove a Removable Discontinuity, Infinite Discontinuity, etc.

This topic covers concepts such as Properties of Continuous Functions, Algebra of Continuous Functions, Continuity of Composite Functions, Continuity of Standard Functions, Intermediate Value Theorem for Continuity, Extreme Value Theorem, etc.

This topic covers concepts such as Differentiability of a Function, Differentiability of a Function at a Point, Concept of Tangent and its Association with Derivability, Differentiability over an Interval, and Differentiability of Standard Functions.

This topic covers concepts such as Relation between Differentiability and Continuity, Properties of Differentiable Functions, Differentiability of Sum of Two Functions, Differentiability of Product of Two Functions, etc.