Find the Directional Derivative of the Function $f ( x , y ) = y ^ { 2 } \ln x$

Multiple Choice

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

A) $\frac { 5 } { 16 }$

B) 0
C) $\frac { 12 } { 5 }$
D) 12
E) 1
F) $\frac { 16 } { 5 }$

G) $\frac { 5 } { 12 }$
H) $\frac { 1 } { 12 }$