Question

So I have no idea on how to do implicit differentiation:

Answer 1

Find y'
\[\LARGE xy=x-2y\]

Answer 2

What's the derivative of xy using implicit differentiation?

Answer 3

So I'll make an attempt:
\[\LARGE \frac{d}{dx}(xy)=\frac{d}{dx}(x-2y)\]
\[\LARGE (xy')+(y)=(1-2y')\]
\[\LARGE (xy'+y)-(1-2y')=0\]

Right so far?

Answer 4

yea

Answer 5

Just solve for y' now

Answer 6

So next is:
\[\LARGE xy'+2y'=-y+1\]
\[\LARGE y'(x+2)=-y+1\]
and tada?
\[\LARGE y'=-\frac{y+1}{x+2}\]

Answer 7

Right

Answer 8

huh, well thank you c:

Answer 9

No problem