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

question 128

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) \(- 6\)

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