Respuesta :

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

Answer:

- 6(6 - 2x)²

Step-by-step explanation:

using the chain rule

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

[tex]\frac{du}{dx}[/tex] = - 2 and [tex]\frac{dy}{du}[/tex] = 3u²

then

[tex]\frac{dy}{dx}[/tex] = 3u² × - 2 = - 6(6 - 2x)²

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