Find the directional derivative of the function $f ( x , y ) = ( x + 6 ) e ^ { y }$ at the point $P ( 7,0 )$ in the direction of the unit vector that makes the angle $\theta = \frac { \pi } { 2 }$ with the positive $x$-axis.
A) $6 e ^ { 7 }$
B) 13
C) 1
D) $e ^ { 7 }$

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The Answer of Find the directional derivative of the function $f ( x , y ) = ( x + 6 ) e ^ { y }$ at the point $P ( 7,0 )$ in the direction of the unit vector that makes the angle $\theta = \frac { \pi } { 2 }$ with the positive $x$-axis.
A) $6 e ^ { 7 }$
B) 13
C) 1
D) $e ^ { 7 }$

Find the Directional Derivative of the Function f(x,y)=(x+6)eyf ( x , y ) = ( x + 6 ) e ^ { y }f(x,y)=(x+6)ey

Find the Directional Derivative of the Function $f ( x , y ) = ( x + 6 ) e ^ { y }$