Background Information:

Find the point on the parabola x+y^2=0 that is closest to the point (0, -3).

Where I believe I need help:

I found the object function to be d(y)= {(y^2-0)^2+(y+3)^2}^(1/2), where y<0.

Which I then used to do the first derivative, but I believe I either went to far or am not finding the critical points correctly some how. 1st Derivative: d'(y)= (4y^3+2y+6)/(2sqrt(y^4+(y+3)^2)), where y<0.

But then I find the C.P. to be y=-3 and y=0 which does not seem to be correct.

If anyone sees my mistake I would really appreciate the help.

Thanks,

Chris A.