Problem

If $ f(x) + x^2[f(x)]^3 = 10 $ and $ f(1) = 2, $ …

01:29

Problem 20 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.
$ tan (x - y) = \frac {y}{1 + x^2} $

Answer

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

More Answers

00:24

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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Missouri State University

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Watch More Solved Questions in Chapter 3

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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

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Samuel H.

University of Nottingham