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If $ x^2 + xy + y^3 = 1, $ find the value of $ y" $ at the point where $ x = 1. $
42
02:07
Frank L.
03:18
Doruk I.
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 5
Implicit Differentiation
Derivatives
Differentiation
Catherine A.
October 23, 2020
I've been struggling with Calculus: Early Transcendentals, this is so helpful
Finally, now Im done with my homework
Campbell University
Oregon State University
Baylor University
Boston College
Lectures
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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.
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