Derivatives and Extrema: Theory and Applications

Related lectures (29)

Page 1 of 3

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Covers trigonometric functions, derivatives, and their applications in solving mathematical problems.

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

Covers hyperbolic functions, including definitions, properties, and derivatives, explained with detailed examples and derivations.

Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

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

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

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.