Is my equation of the tangent line at (2,-1) correct?

[excelsion]

i would like to know if my answer is correct can someone tell me the results for this:
Find the equation of the tangent line to x^3-2x^2y+y^2=17 at (2,-1)

ive gotten y'=(3x^2+4xy)/(-2x^2-y)
and my line equations is
y+1=(-1/4)(x-2)
thanks in advance

 

[Dick]

I think you have some sign problems in your derivative. Check again.

 

[excelsion]

i did it wrong i re did it and got this:
dy/dx=-3x^2+4xy^2/-4x^2+2y

is that correct?

 

[Dick]

The signs have improved, but you have bad exponent in the numerator and a bad coefficient in the denominator. I think if you do it once more carefully, you'll get it.