Question

Differentiate with respect to x (6-2x)^3​

Answer 1

-6(6-2x)^2 by chain rule

Answer 2

Answer:

- 6(6 - 2x)²

Step-by-step explanation:

using the chain rule

$\frac{dy}{dx}$ = $\frac{dy}{du}$ × $\frac{du}{dx}$

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

$\frac{du}{dx}$ = - 2 and $\frac{dy}{du}$ = 3u²

then

$\frac{dy}{dx}$ = 3u² × - 2 = - 6(6 - 2x)²