Find and classify all the critical points for .
Relative Maximum
Relative Minimum
$\Big(\sqrt{\frac{108}{125}},-\frac{2}{5}\Big):$ Saddle Point
$\Big(-\sqrt{\frac{108}{125}},-\frac{2}{5}\Big):$ Saddle Point
Saddle Point
$\Big(\sqrt{\frac{108}{125}},-\frac{2}{5}\Big):$ Relative Maximum
$\Big(-\sqrt{\frac{108}{125}},-\frac{2}{5}\Big):$ Relative Minimum