Lectures related to Implicit Functions: Theory and Applications

Explores finding the equation of the tangent line to a function's graph at a point.

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

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores the theory of implicit functions, their properties, and illustrative examples.

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Explains partial derivatives, Hessienne matrix, and their properties.

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