# Implicit Differentiation

• April 28th 2010, 02:16 PM
Neversh
Implicit Differentiation
e^(xy) = x - y
• April 28th 2010, 02:42 PM
With respect to which variable? :3

For x its $(y + x\dot{y})e^{xy} = 1 - \dot{y}$.
• April 28th 2010, 03:02 PM
Neversh
Looking for Dy/dx, the book lists the answer as: (y(y-e^(xy))/(y^2-xe^(xy))

Typo lol meant for the
"9" to be a ( D:
• April 28th 2010, 03:08 PM
Does it? I must disagree. Where would the 9 comes from anyway?

edit: okay, there's still a typo because your parentheses aren't balanced. But the solution should be $\dot{y} = {1-ye^{xy}\over 1+xe^{xy}}$.
• April 28th 2010, 03:19 PM
Neversh
Quote:

Does it? I must disagree. Where would the 9 comes from anyway?

Was a typo :P