Find the Directional Derivative of the Function $f ( x , y , z ) = \sqrt { x y z }$

question 20

Multiple Choice

Find the directional derivative of the function $f ( x , y , z ) = \sqrt { x y z }$ at the point $( 2,4,2 )$ in the direction of the vector $\{ 4,2 , - 4 \}$ .

• A) \(- \frac { 1 } { 6 }\)
• B) \(- \frac { 1 } { 4 }\)
• C) \(- \frac { 1 } { 2 }\)
• D)0
• E) \(\frac { 1 } { 2 }\)
• F) \(\frac { 1 } { 4 }\)
• G) \(\frac { 1 } { 6 }\)
• H) \(\frac { 1 } { 8 }\)

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