MediumCalculusca-323

Directional Derivative with Normalized Vector

Problem

The directional derivative of a differentiable function at a point in direction v is grad dot v, and normalizing v gives the slope per unit distance.

Given the gradient and a nonzero direction vector, return grad dot (v / ||v||).

Hint

Divide the dot product by the Euclidean norm of the direction.

case 1

in: [[3,4],[1,0]]

expected: 3

case 2

in: [[1,0,0],[2,3,6]]

expected: 0.2857142857142857

case 3

in: [[1,-1],[1,1]]

expected: 0

Starter codePython

def directional_derivative_normalized(grad, direction):
    # Your code here
    pass

3 test cases · run your code against them in the editor