Homework Help: Calculus

Posted by Marissa on Tuesday, May 22, 2012 at 10:02am.

How do you use imlicit differentiation to differentiate e^(xy)?

I have the problem "use implicit differentiation to find dy/dx.
e^(xy)+ x^2 - y^2 = 10. I've gotten to the point whereI have d/dx(e^(xy)) + 2x - 2ydy/dx = 0, but I can't go any further because I don't know how to use implicit differentiation to find e/dx(e^(xy)). It's been a while since I've done this and i don't remember, can someone refresh my memory? Thanks1

Calculus - Reiny, Tuesday, May 22, 2012 at 10:11am
e^(xy) + x^2 - y^2 = 10

e^(xy) (xdy/dx + y) + 2x - 2y dy/dx = 0

xe^(xy) dy/dx + ye^(xy) + 2x - 2y dy/dx = 0

dy/dx (xe^(xy) - 2y) = -2x - ye^(xy)

dy/dx = (2x + ye^(xy) ) / (2y - xe^(xy) )

Answer this Question

Related Questions

Calculus - Use implicit differentiation to find dy/dx if cos xy = 2x^2 - 3y. I&#...
Calculus (repost) - Use implicit differentiation to find dy/dx if cos xy = 2x^2...
Implicit differentiation calculus - PLEASE HELP , I DON'T UNDERSTAND find dy...
Calculus - I am unsure of how to take the derivative of this equation. It may be...
math - If cos(3 x)6Ó14 x e^2 y=0, find [ dy/dx] using implicit ...
Calculus 1 - implicit differentiation - I do not understand implicit ...
Calculus 1 - implicit differentiation - I do not understand implicit ...
Math - Calculus Question. - hey can someone explain to me the relationship ...
Calc - Use implicit differentiation to find dy/dx. ln xy + 5x = 30
Calculus - I saw this question asked, but I didn't understand the answer ...

For Further Reading

First Name:
School Subject:
Answer: