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

question 31

Multiple Choice

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

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Definitions:

Henry Fayol

An alternate spelling for Henri Fayol, renowned for pioneering theories on organizational structure and management.

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