Thread: dy/dx problem

I am having some trouble with this quesetion.

Find $\displaystyle dy/dx$ if $\displaystyle x^2y=$e^(x+y)

What I have is

$\displaystyle x^2*dy/dx + y*2x=$e^(x+y)$\displaystyle 1+dy/dx$

$\displaystyle x^2 dy/dx + 2xy = (1+dy/dx)$ e^x+y

after this, this where I do don't know how to take out the $\displaystyle dy/dx$

Originally Posted by killasnake

I am having some trouble with this quesetion.

Find $\displaystyle dy/dx$ if $\displaystyle x^2y=$e^(x+y)

What I have is

$\displaystyle x^2*dy/dx + y*2x=$e^(x+y)$\displaystyle 1+dy/dx$

$\displaystyle x^2 dy/dx + 2xy = (1+dy/dx)$ e^x+y

after this, this where I do don't know how to take out the $\displaystyle dy/dx$

Move everything around so that dy\dx is on one side by itself.
Then solve by factoring out the dy/dx and divide.