Consider the function

$f(x,y)=y\sqrt[\phantom{2}]{x}-y^2-3x+11y$

Find and classify the critical point $of$ the function $in$ the interior $of$ its domain.

$f_x=$

$f_y=$

$f_{}=$

$f_{xy}=$

$f_{yy}=$

The critical point $is$

Classification: