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# Differentiate. $f(x) = x^2$ sin $x$

## $$f^{\prime}(x)=x^{2} \cos x+(\sin x)(2 x)=x^{2} \cos x+2 x \sin x$$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

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### Video Transcript

Hey, it's clear. So when you read who so we're gonna differentiate ethnic acts is equal to X square? Sina Becks. So, though, get the derivative, it was equal to X square terms. D over d X of sign of X plus de over de Metz of X square time. Sign of X, a derivative of sign as co sign and we get X Square co sign That's plus two X Sinus.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

##### Michael J.

Idaho State University

Lectures

Join Bootcamp