Partial Derivatives: Introduction

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Related lectures (19)

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Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Partial Derivatives: Examples

Explains the concept of partial derivatives through various examples involving functions of two variables.

Implicit Function Theorem: Tangent Planes and Derivatives

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Directional Derivatives

Explores directional derivatives in two-variable functions and extremum points.

Partial Derivatives and Gradient

Covers partial derivatives, gradient, and second partial derivatives with their applications.

Mathematical Complements: df or δf

Explores mathematical tools for differentials of functions of multiple variables and integrals, including conservative quantities and exact total differentials.

Geometric Interpretation of Derivatives

Explores the geometric interpretation of derivatives and properties of derivable functions.

Differential Functions: Derivability and Gradient

Explores differentiability in functions and the role of gradients in directional derivatives.