Originally Posted by
Cander35 OK it is possible that I have made an error earlier on in this problem, but I believe my problem is with finding the relative minimum.
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.