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

question 256

Multiple Choice

Find the second directional derivative of $f ( x , y ) = x ^ { 2 } e ^ { y }$ at the point $( 2,0 )$ in the direction $(3 , - 4 )$ .

• A) \(\frac { 14 } { 5 }\)
• B) \(\frac { 4 } { 5 }\)
• C) \(\frac { 14 } { 25 }\)
• D)14
• E) \(- \frac { 14 } { 5 }\)
• F) \(- \frac { 4 } { 5 }\)
• G) \(- \frac { 14 } { 25 }\)
• H) \(- 14\)