A Counterexample: Function Continuity

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

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

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

Explores derivability, continuity, and composite functions with illustrative examples.

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