Chapter 5: Function Studies

Related lectures (31)

Page 3 of 4

Explores determining local maximums, minimums, and inflection points of functions.

Explores concavity, convexity, critical points, and singularities in functions.

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.

Illustrates finding supporting hyperplanes for surfaces and determining stationary point nature.

Discusses extrema of functions with multiple variables and the hessian matrix.

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

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

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Explores derivatives, local extrema, and function variation in mathematical analysis.

Covers Taylor approximation, convex functions, and integrable properties.