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Find the derivative. Simplify where possible.$ y = e^{\cosh 3x} $

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Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Harvey Mudd College

Baylor 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.

01:35

Find the derivative. Simpl…

00:51

01:02

00:20

00:33

00:44

03:49

01:03

00:26

00:34

Find the derivative of the…

04:28

03:24

Calculate the derivative.<…

01:59

We know that why Prime would be eat to the coast, sign H of three acts times the derivative of the exponents, which would be signed age three acts and then tend to the derivative of the inside of three times three. This simplifies to three e to the coast. Sign H three AKs, Times sign, age three x So we're just putting the three from the driver of the inside at the front.

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