Thread: Implicit Differentiation Problem

Hi,
I'm looking at review questions for a test tomorrow, and one of them is

find the derivative for sin(xy)=x2-y;
if I'm not mistaking, the derivative comes out to cos(xy)*xy'+xy=2x-y' ,
but i'm not sure how to isolate the y's; it seems like I end up with one on either side no matter what I do; is there something I'm missing?
Thanks!

Originally Posted by geliot

Hi,
I'm looking at review questions for a test tomorrow, and one of them is

find the derivative for sin(xy)=x2-y;
if I'm not mistaking, the derivative comes out to cos(xy)*xy'+xy=2x-y' ,
but i'm not sure how to isolate the y's; it seems like I end up with one on either side no matter what I do; is there something I'm missing?
Thanks!

Excuse me, I meant for the derivative: cos(xy)*(y+xy') = 2x-y'