Consider the function

$f(x,y)=e^{-4x}cos(-6y)$

Find and classify all critical points of the function. If there are more blanks than critical points. leave the remaining entries blank.

$f_x=$

$f_y=$

$f_{xy}=$

$f_{xy}=$

$f_w=$

The critical point with the smallest x $-$coordinate is

$$ Classification: $($local minimum, local maximum, saddle point, cannot be determined$)$

The critical point with the next smallest $x-$coordinate is

$$ Classification: $($local minimum, local maximum, saddle point, cannot be determined$)$

The critical point with the next smallest $x-$coordinate is

$$ Classification: $($local minimum, local maximum, saddle point, cannot be determined$)$