Problem

Show that $ \frac {d}{dx} \sqrt[4]{ \frac {1 + \t…

00:47

Problem 45 Medium Difficulty

Find the derivative. Simplify where possible.
$ y = \coth^{-1} (\sec x) $

Answer

$-\csc x$

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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Problem 1

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Problem 59

Video Transcript

okay. We know we're looking at the jungle formula for co tangent off one over one minus you squared. Therefore, we know that, do you? Why? Over D backs is gonna be one over one, minus seeking ax squared. I'm seeking exchanging acts, which is negative seeking axe over tangent axe, which is the same thing as negative one over. Sign acts because remember tension to send over. Co sign. This is negative. Coast seek an axe.

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

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor