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# Find the derivative. Simplify where possible.$g(x) = \sinh^2 x$

## 2 $\sinh x \cosh x$

Derivatives

Differentiation

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##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

we know the derivative of signed H of X is co sign a cheque. Rex, Therefore, if are you is sign a true pax thingy of you Is you squared? We can write this as two year times co signed h of axe is equivalent to two co signed h of axe times signed H A box because now repugnant. If this is air you over here, we're plugging in. Are you with this? Therefore we can simplify this to be g prime of axe is signed Age of two X Now remember, this is a special case trick identity list in the textbook.

#### Topics

Derivatives

Differentiation

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp