# Math Help - Finding the critical point

1. ## Finding the critical point

I am stuck. The instructor said this equation had a infinite amount of critical points but l don't understand how he gets that answer.

2. Originally Posted by nyasha
I am stuck. The instructor said this equation had a infinite amount of critical points but l don't understand how he gets that answer.
The answer is in the 2nd factor 3xy-2.

The partial derivatives are also zero if this factor is zero.

$3xy-2=0\ \Rightarrow\ y=\frac{2}{3x}$

which has solutions for all x except zero.