Question

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

Answer 1

- 6(6 - 2x)²

Explanation:

using the chain rule

`(dy)/(dx)` =
`(dy)/(du)` ×
`(du)/(dx)`

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

`(du)/(dx)` = - 2 and
`(dy)/(du)` = 3u²

then

`(dy)/(dx)` = 3u² × - 2 = - 6(6 - 2x)²

Answer 2

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