Problem

Find the derivative of the function. Simplify whe…

01:42

Problem 49 Easy Difficulty

Find the derivative of the function. Simplify where possible.
$ y = (tan^{-1} x)^2 $

Answer

$y^{\prime}=2\left(\tan ^{-1} x\right)^{1} \cdot \frac{d}{d x}\left(\tan ^{-1} x\right)=2 \tan ^{-1} x \cdot \frac{1}{1+x^{2}}=\frac{2 \tan ^{-1} x}{1+x^{2}}$

More Answers

00:26

Frank L.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Discussion

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Video Transcript

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Doruk I.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Top Calculus 1 / AB Educators

Catherine R.

Missouri State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Michael J.

Idaho State University