Lecture

Derivatives and Extrema: Theory and Applications

Related lectures (29)

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.

Covers derivatives, limits, and trigonometric functions in calculus.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

Introduces limited developments and differential equations with practical applications.

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

Covers derivatives, continuity, and reciprocal functions with examples of exponential and trigonometric functions.

Explores the inverse hyperbolic functions and their derivatives, emphasizing the bijection property of coth(x).

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Covers the concept of functional derivatives and their calculation process with examples.

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.