Study guide and 4 practice problems on:

## Gradient is in direction of steepest ascent

Let $f(x,y)$ be a function of two (or more) variables.
The direction of steepest ascent of $f$ at $(x,y)$ is given by $\nabla f(x,y)$.
The direction of steepest descent of $f$ at $(x,y)$ is given by $-\nabla f(x,y)$.