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

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Missouri State University

Campbell University

Idaho State University

Boston College

Lectures

04:40

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

44:57

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

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Find the derivative. Simpl…

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Find the derivative of the…

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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.

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