MediumCalculusca-357

Product Polynomial Derivative Coefficients

Problem

The derivative of a product of two polynomials is f' g + f g', and polynomial multiplication is coefficient convolution.

Given the coefficient lists of f and g in ascending order, return the coefficients of (f g)' in ascending order.

Hint

Convolve the coefficients first, then differentiate the product.

case 1

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

expected: [0,-2]

case 2

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

expected: [4,12]

case 3

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

expected: [0,2,0,0,20]

Starter codePython

def product_polynomial_derivative_coeffs(f, g):
    # Your code here
    pass

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