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# Differentiate the function.$g(x) = x^2(1-2x)$

## $$g^{\prime}(x)=2 x-2\left(3 x^{2}\right)=2 x-6 x^{2}$$

Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

there is someone You right here. So we have G FX is equal to x square comes one minus two X which is equal to X square minus to execute on. We can write this. It was a derivative of D over DX. In terms of X, x square minus to execute, we're gonna apply the difference rule. So what we're gonna do is do you over D X looks square minus the over DX to execute, and this becomes equal to two X minus six x squared.

Derivatives

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