Sunday

September 21, 2014

September 21, 2014

Posted by **Bob** on Wednesday, February 22, 2012 at 9:44pm.

Find dy/dx by implicit differentiation.

- Math/Calculus. -
**Reiny**, Wednesday, February 22, 2012 at 9:59pm2x(e^(-2y) ) + x^2(e^(-2y) )(-2dy/dx)= 1/(xy) (xdy/dx + y)

2x e^(-2y) -2y x^2 e^(-2y) = (1/y) dy/dx + 1/x

2x e^(-2y) - 1/x = dy/dx (1/y + 2x^2 e(-2y) )

dy/dx = ( 2x e^(-2y) - 1/x ) / ((1/y + 2x^2 e(-2y)) )

still pretty messy looking, I don't know how far you have to take it.

Also, you better check my work. It is always harder to just type it here, rather than do it on paper.

**Answer this Question**

**Related Questions**

Calculus 1 - implicit differentiation - I do not understand implicit ...

Calculus 1 - implicit differentiation - I do not understand implicit ...

Implicit differentiation calculus - PLEASE HELP , I DON'T UNDERSTAND find dy/dx ...

Math - Calculus Question. - hey can someone explain to me the relationship ...

Calculus - How do you use imlicit differentiation to differentiate e^(xy)? I ...

Calculus [Implicit Differentiation] - If √x+√y=10 and y(16)=36, find...

Calculus: implicit differentiation - Find dy/dx by implicit differentiation 1. x...

calculus - Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit ...

calculus; implicit differentiation - Use implicit differentiation to find the ...

Calculus 1 Implicit differentiation - Help please help me understand what i am ...