Lectures related to Derivative of Terms

Discusses the continuity of the derivative function and presents a counterexample of a function that is not necessarily continuous.

Covers the rules of derivation and how to calculate derivatives.

Explores invertible matrices, injective functions, and the theory of reciprocal functions.

Covers the theorem of finite increments in derivative functions.

Explores the conditions for a function to be continuous and differentiable.

Covers the computation of derivatives and the properties of differentiable functions.

Covers the derivative of the composition of two functions and its applications.

Explores the theorems of continuity and derivative numbers, including strict monotonicity and the Newton ratio.

Covers the concepts of convexity and concavity in functions with examples.

Explores the conditions for continuity and differentiability of functions on a closed interval.