Find the Directional Derivative of the Function at P in the Direction

question 100

Multiple Choice

Find the directional derivative of the function at P in the direction of $\overrightarrow { \mathbf { v } }$ $f ( x , y ) = 3 x - 2 x y + 7 y , P ( 1,9 ) , \quad \overrightarrow { \mathbf { v } } = \frac { 1 } { 2 } ( \hat { \mathbf { i } } + \sqrt { 3 } \hat { \mathbf { j } } )$

• A) \(\frac { - 15 + 5 \sqrt { 3 } } { 4 }\)
• B) \(\frac { - 15 + 5 \sqrt { 3 } } { 2 }\)
• C) \(\frac { 21 + 5 \sqrt { 3 } } { 2 }\)
• D) \(\frac { 21 + 5 \sqrt { 3 } } { 4 }\)
• E) \(\frac { - 15 + 9 \sqrt { 3 } } { 2 }\)

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