Tangent Planes and Implicit Functions

Covers the concept and calculation of directional derivatives in multivariable calculus.

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

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Covers the analysis of functions, composition, and mathematical induction.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.