Find the Second Directional Derivative Of $f ( x , y ) = x ^ { 2 } y$

Multiple Choice

Find the second directional derivative of $f ( x , y ) = x ^ { 2 } y$ at the point $( - 1,1 )$ in the direction $( 3,4 )$ .

A) $\frac { 2 } { 5 }$

B) $\frac { 6 } { 5 }$
C) 2
D) 6
E) $- \frac { 2 } { 5 }$
F) $- \frac { 6 } { 5 }$
G) $- 2$
H) $- 6$