531,043 views
5 votes
5 votes
Differentiate with respect to x (6-2x)^3​

User Naquisha
by
2.6k points

2 Answers

8 votes
8 votes

Answer:

- 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

User Torger
by
3.2k points
14 votes
14 votes
-6(6-2x)^2 by chain rule
User TheCottonSilk
by
3.5k points