Problem

Find the derivative. Simplify where possible. $ …

00:25

Problem 32 Easy Difficulty

Find the derivative. Simplify where possible.
$ g(x) = \sinh^2 x $

Answer

2 $\sinh x \cosh x$

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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Watch More Solved Questions in Chapter 3

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Problem 32

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Problem 59

Video Transcript

we know the derivative of signed H of X is co sign a cheque. Rex, Therefore, if are you is sign a true pax thingy of you Is you squared? We can write this as two year times co signed h of axe is equivalent to two co signed h of axe times signed H A box because now repugnant. If this is air you over here, we're plugging in. Are you with this? Therefore we can simplify this to be g prime of axe is signed Age of two X Now remember, this is a special case trick identity list in the textbook.

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

Anna Marie V.

Campbell University

Kristen K.

University of Michigan - Ann Arbor

Samuel H.

University of Nottingham

Joseph L.

Boston College