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

question 47

Multiple Choice

Find the directional derivative of the function at P in the direction of $\overrightarrow { \mathbf { v } } \text {. }$ $f ( x , y ) = x ^ { 5 } - y ^ { 5 } , P ( 5,4 ) , \quad \overrightarrow { \mathbf { v } } = \frac { \sqrt { 2 } } { 2 } ( \hat { \mathbf { i } } + \hat { \mathbf { j } } )$

• A) \(( 922.5 ) \sqrt { 2 }\)
• B) \(( - 5,252.5 ) \sqrt { 2 }\)
• C) \(( 1,845.0 ) \sqrt { 2 }\)
• D) \(( 5,252.5 ) \sqrt { 2 }\)
• E) \(( 1,677.5 ) \sqrt { 2 }\)

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