MediumCalculusca-334

Total Derivative Along a Path

Problem

For f(x(t), y(t)), the total derivative is df/dt = f_x * x'(t) + f_y * y'(t).

Given the partial derivatives and the coordinate velocities, return the total derivative.

Hint

Sum the partial derivatives weighted by the corresponding velocities.

case 1

in: [1,2,3,4]

expected: 11

case 2

in: [2,-1,0.5,0.5]

expected: 0.5

case 3

in: [-3,4,1,-2]

expected: -11

Starter codePython

def total_derivative_along_path(fx, fy, dx, dy):
    # Your code here
    pass

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