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.
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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. $\displaystyle 3xy-2=0\ \Rightarrow\ y=\frac{2}{3x}$ which has solutions for all x except zero.
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