Derivability and Differentiability

This lecture covers the concepts of derivability and differentiability, including the implications of differentiability on continuity, rules of differentiation (algebraic, composition, inverses), interpretation of graphical representations, examples, and the relationship between differentiability and continuity. It also explores the derivative of a function at a point, the reciprocal of a continuous injective function, and the graphical interpretation of derivatives. The lecture concludes with the derivative of composite functions and the derivative of inverse functions.