MediumCalculusca-308

Taylor Coefficients from Derivatives

Problem

If f has derivatives d_k = f^(k)(0) at zero, its Maclaurin series is sum_k (d_k / k!) x^k.

Given the list of derivatives in order k = 0, 1, 2, ..., return the corresponding Taylor coefficients.

Hint

Divide the k-th derivative by k factorial.

case 1

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

expected: [1,1,0.5,0.16666666666666666]

case 2

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

expected: [0,2,0,1]

case 3

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

expected: [1,0,-0.5]

Starter codePython

def taylor_coefficients_from_derivatives(derivatives):
    # Your code here
    pass

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