Problem

Find the derivative. Simplify where possible. $ …

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Problem 30 Easy Difficulty

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

Answer

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

Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Discussion

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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.

Amrita B.