Lectures related to Implicit Functions: Tangent Line

Partial Derivatives: Derivability

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Introduction to Derivatives

Introduces derivatives, forward contracts, options, and their financial uses.

Derivative and Local Extrema Study

Explores the study of local minima and maxima through derivatives and sign changes.

Differentiability and Tangent Planes in Multivariable Functions

Covers differentiability in multivariable functions and the existence of tangent planes, emphasizing geometric interpretations and practical applications.

Geometric Interpretation of Derivatives

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

Curve Length and Function Definition

Explores curve length, function definition, continuity, derivatives, integrals, and graphical representations of functions in two variables.

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.