EasyCalculusca-012

Tangent Line at a Point

Problem

Return the tangent line to f(x) = sum(coeffs[i] * x^i) at x0 as [slope, intercept].

slope = f'(x0) and intercept = f(x0) - slope * x0, so the line is y = slope * x + intercept.

Hint

Differentiate term by term, then shift the line down by slope * x0 to get the intercept.

case 1

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

expected: [6,-9]

case 2

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

expected: [14,-11]

case 3

in: [[5],1]

expected: [0,5]

case 4

in: [[0,1],0]

expected: [1,0]

Starter codePython

def tangent_line(coeffs, x0):
    # Return [slope, intercept]
    # Your code here
    pass

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