EasyCalculusca-264

Curvature of a Parabola

Problem

For the parabola y = a*x^2 + b*x, the curvature at the point x is |2*a| / (1 + (2*a*x + b)^2)^(3/2).

Given a, b, and x, return the curvature. A straight line with a = 0 has zero curvature everywhere.

Hint

Curvature decreases as the slope grows because the denominator is the speed cubed.

case 1

in: [1,0,0]

expected: 2

case 2

in: [1,0,1]

expected: 0.17888543819998318

case 3

in: [0,5,3]

expected: 0

case 4

in: [2,1,0]

expected: 1.414213562373095

Starter codePython

def parabola_curvature(a, b, x):
    # Your code here
    pass

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