$(4pts)$ A contour diagram for the smooth function $z=f(x,y)is$ shown below, where all the

contours are unevenly spaced lines $at$ specified levels.

Figure $1.$ Figure for Problem $4.$

Determine the sign $of$ each partial derivative $atPby$ circling your answer.

$f_x(P)$:$,+,-,0,f_y(P)$:$,+,-,0$

$f_{}(P)$:$,+,-,0,f_{yy}(P)$:$,+,-,0$

$f_{xy}(P)$:$,+,-,0,$