Problem

Fanciful shapes can be created by using the impli…

02:40

Problem 40 Hard Difficulty

If $ x^2 + xy + y^3 = 1, $ find the value of $ y" $ at the point where $ x = 1. $

Answer

42

More Answers

02:07

Frank L.

03:18

Doruk I.

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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CA

Catherine A.

October 23, 2020

I've been struggling with Calculus: Early Transcendentals, this is so helpful

CA

Catherine A.

October 23, 2020

Finally, now Im done with my homework

CA

Catherine A.

October 23, 2020

Finally, now Im done with my homework

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Watch More Solved Questions in Chapter 3

Problem 1

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Video Transcript

here we want to do some implicit differentiation. Um And this is going to be X squared plus X. Y. That's why cubed equals one. And we want to find why triple crime at the point where X equals one. So do you this we're going to have X squared. Um Why? And then we're going to have yeah. Um This is uh two x plus and then we're gonna want to do chain rule here. So we end up getting um the derivative of the first one acts so times why? Plus X. Why primed? And then we'll have plus free Y squared. Why prime equal to zero. And then we can keep doing this. And when we evaluated at X equals one, we ended up seeing that 42 is the final answer.

Carson M.

California Baptist University

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

Caleb E.

Baylor University

Joseph L.

Boston College