Posted by Anonymous on .
At what point(s) does the curve defined by x^26x=66y^2 have horizontal tangents?
I took the derivative and solved for y'. I got y'=1/6x/y+1/2y. hmm...what am I suppose to do?

Calculus 
Reiny,
leave your derivative as
dy/dx = (2x6)/(12y) after you differentiated implicitly.
then (2x6)/(12y) = 0 can only be true if
2x6 = 0
x = 3 now put that back into the original equation to get y = ...
your equation will be y = that value 
Calculus 
Anonymous,
would it by (2,sqrt(10)/2)?