Directional Derivative: Definitions and Examples

Explores the existence of the gradient in R2 and its implications on derivability and directional derivatives.

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

Explores gradient in scalar fields, directional derivatives, and level sets.

Explores properties of functions with continuous partial derivatives in open subsets of Rn.

Explores directional derivatives in two-variable functions and extremum points.