Problem

Find $ dy/dx $ by implicit differentiation. $ xy…

02:11

Problem 15 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.
$ e^{x/y} = x - y $

Answer

$\frac{y^{2}-y e^{x / y}}{y^{2}-x e^{x / y}}$

Discussion

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Video Transcript

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Topics

Derivatives

Differentiation

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 5

Implicit Differentiation

Problem

Find $ dy/dx $ by implicit differentiation. $ xy…

Problem 15 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.
$ e^{x/y} = x - y $

Answer

$\frac{y^{2}-y e^{x / y}}{y^{2}-x e^{x / y}}$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Problem

Find $ dy/dx $ by implicit differentiation. $ xy…

Problem 15 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.$ e^{x/y} = x - y $

Answer

$\frac{y^{2}-y e^{x / y}}{y^{2}-x e^{x / y}}$

More Answers

Topics

Calculus: Early Transcendentals

Discussion

Top Calculus 1 / AB Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Watch More Solved Questions in Chapter 3

Video Transcript

Topics

Calculus: Early Transcendentals

Top Calculus 1 / AB Educators

Anna Marie V.

Caleb E.

Michael J.

Joseph L.

Calculus 1 / AB Bootcamp

Precalculus Review - Intro

Functions on the Real Line - Overview

Recommended Videos

Find $ dy/dx $ by implicit differentiation.
$ e^{x/y} = x - y $