Implicit Examples: Hyperplane and Stationary Points

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

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

Explains necessary conditions for convergence in optimization problems.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.