Given $f ( x , y ) = x ^ { 2 } y$ , $P _ { 0 } = ( 3,2 )$ , let $\mathbf { u }$ be the unit vector for which the directional derivative $D _ { \mathbf { u } } f \left( P _ { 0 } \right)$ has maximum value. This maximum value is
A) $\frac { 288 } { 5 }$
B)1
C)6
D) $12 \sqrt { 3 }$

E)15

Question

Given $f ( x , y ) = x ^ { 2 } y$ , $P _ { 0 } = ( 3,2 )$ , let $\mathbf { u }$ be the unit vector for which the directional derivative $D _ { \mathbf { u } } f \left( P _ { 0 } \right)$ has maximum value. This maximum value is
A) $\frac { 288 } { 5 }$ 
B)1
C)6
D) $12 \sqrt { 3 }$

E)15

Quizplus · Accepted Answer

The Answer of Given $f ( x , y ) = x ^ { 2 } y$ , $P _ { 0 } = ( 3,2 )$ , let $\mathbf { u }$ be the unit vector for which the directional derivative $D _ { \mathbf { u } } f \left( P _ { 0 } \right)$ has maximum value. This maximum value is
A) $\frac { 288 } { 5 }$ 
B)1
C)6
D) $12 \sqrt { 3 }$

E)15

Given f(x,y)=x2yf ( x , y ) = x ^ { 2 } yf(x,y)=x2y

Given $f ( x , y ) = x ^ { 2 } y$