Lectures related to Derivatives and Hyperbolic Functions

Covers the definitions and examples of hyperbolic tangent and cotangent functions.

Explains how to find local extrema of functions using derivatives and critical points.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Explains necessary conditions for convergence in optimization problems.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Explores hyperbolic functions, their properties, and derivatives, including tanh(x) and arctanh(x).

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

Introduces derivatives, tangent lines, rules of differentiation, and practical examples.

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.