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emmasim [6.3K]
1 year ago
12

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

Mathematics
2 answers:
olga55 [171]1 year ago
6 0
-6(6-2x)^2 by chain rule
OLEGan [10]1 year ago
6 0

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

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