Problem

Find the derivative. Simplify where possible. $ …

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Problem 34 Medium Difficulty

Find the derivative. Simplify where possible.
$ F(t) = \ln (\sinh t) $

Answer

$F^{\prime}(t)=\operatorname{coth} t$

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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Top Calculus 1 / AB Educators

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Missouri State University

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Video Transcript

we know that sign h of X. The derivative of this would be co sign Ajax. Therefore, view is signed Age of tea. Then we know that half of you will be the natural log of you. Therefore, after prime of tea is gonna be Kwan over you comes co sign a JJ of tea which is co sign a treaty over sign a treaty which is co tangent h of G.

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

Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Samuel H.

University of Nottingham