## What is the directional derivative of a function?

In mathematics, the directional derivative of a multivariate differentiable function along a given vector v at a given point x intuitively represents the instantaneous rate of change of the function, moving through x with a velocity specified by v.

The directional derivative is a special case of the Gateaux derivative.

## How do you find the directional vector?

Find the direction vector that has an initial point at and a terminal point of . Explanation: To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

## How do you find the maximum directional derivative?

Maximum directional derivative example | Find directional derivative

## What is the directional derivative in the direction of the given vector?

The rate of change of f(x,y) f ( x , y ) in the direction of the unit vector →u=⟨a,b⟩ u → = ⟨ a , b ⟩ is called the directional derivative and is denoted by D→uf(x,y) D u → f ( x , y ) .