# Implicit Differentiation

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

For x its $(y + x\dot{y})e^{xy} = 1 - \dot{y}$.
• Apr 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:
• Apr 28th 2010, 03:08 PM
edit: okay, there's still a typo because your parentheses aren't balanced. But the solution should be $\dot{y} = {1-ye^{xy}\over 1+xe^{xy}}$.