EasyCalculusca-365

Convexity via Second Derivative Sign

Problem

A twice differentiable function is convex at a point when its second derivative is nonnegative there.

Given polynomial coefficients and the point x, return True when f''(x) >= 0.

Hint

Only terms of degree two and higher contribute to f''.

case 1

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

expected: true

case 2

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

expected: true

case 3

in: [[0,0,-1],3]

expected: false

Starter codePython

def convexity_second_derivative_check(coeffs, x):
    # Your code here
    pass

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