Question

Find the derivative of y= (3x –1) 2
with respect to x.​

Answer 1

dy/dx = 18x – 6

Explanation:

y = (3x – 1)²

Take derivative using power rule and chain rule:

dy/dx = 2 (3x – 1) × 3

dy/dx = 6 (3x – 1)

dy/dx = 18x – 6

You can check this answer by simplifying y before taking the derivative.

y = 9x² – 6x + 1

dy/dx = 18x – 6