Problem

Find the derivative. Simplify where possible. $ …

00:46

Problem 37 Medium Difficulty

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

Answer

3$e^{\cosh 3 x} \sinh 3 x$

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Discussion

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Video Transcript

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.

Amrita B.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University