EasyCalculusca-015

Directional Derivative

Problem

Compute the directional derivative of a scalar field at a point given its gradient and a direction vector.

Normalize the direction and take the dot product: D = (grad · direction) / ||direction||.

If the direction vector is the zero vector, return 0.0.

Hint

The direction must be a unit vector before dotting it with the gradient.

case 1

in: [[2,4,6],[1,0,0]]

expected: 2

case 2

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

expected: 1.4

case 3

in: [[0,0],[1,1]]

expected: 0

case 4

in: [[2,-3],[0,-2]]

expected: 3

case 5

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

expected: 0

Starter codePython

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

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