Find the Slopes of the Surface $h ( x , y ) = 3 y ^ { 2 } - x ^ { 2 }$

Multiple Choice

Find the slopes of the surface $h ( x , y ) = 3 y ^ { 2 } - x ^ { 2 }$ in the x- and y- directions at the point $( - 1,3,26 )$ .

A) slope in x-direction: 29slope in y-direction: 17
B) slope in x-direction: 2slope in y-direction: 18
C) slope in x-direction: 17slope in y-direction: 29
D) slope in x-direction: 20slope in y-direction: 20
E) slope in x-direction: 18slope in y-direction: 2