Derivatives and Extrema: Theory and Applications

Related lectures (29)

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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.