Find the Directional Derivative of the Function $f ( x , y ) = ( x + 5 ) e ^ { y }$

question 41

Multiple Choice

Find the directional derivative of the function $f ( x , y ) = ( x + 5 ) e ^ { y }$ at the point $P ( 6,0 )$ in the direction of the unit vector that makes the angle $\theta = \frac { \pi } { 2 }$ with the positive x-axis.

• A) \(e ^ { 6 }\)
• B) 1
• C) \(5 e ^ { 6 }\)
• D) 11

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