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# Find the derivative. Simplify where possible.$f(x) = e^x \cosh x$

## $$e^{x}(\sinh x+\cosh x)$$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

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### Video Transcript

Okay. Take the product rule either. The ex co signed H of X taking the pro actual. We have each of the AKs sign H of X plus co sign H of axe times each of the AKs. This is equivalent to eat of the axe sign H of X plus. Either the axe co sign Age of extras. To make things simple, we would put the heat of the exit in the front because now we can factor it out, which gives us the derivative is equivalent to eat of the ax time sign H of x co sign each of X. And the reason why is because we're called each of the AKs. The derivative of this is still eating the axe. It's a special case.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp