Discuss how the definitions of directional derivative (from calculus) and dot product (also called the inner product) can be used to justify the following statement: The gradient points in the direction of maximum increase of a differentiable function fro

Discuss how the definitions of directional derivative (from calculus) and dot product (also called the inner product) can be used to justify the following statement: The gradient points in the direction of maximum increase of a differentiable function from R2 to R.