Solve the Problem $f ( x , y ) = \tan ^ { - 1 } x y$

question 351

Multiple Choice

Solve the problem.
-About how much will $f ( x , y ) = \tan ^ { - 1 } x y$ change if the point $( x , y , z )$ moves from $\left( 9 \sqrt { 2 } , \frac { - 6 } { \sqrt { 2 } } \right)$ a distance of $\mathrm { ds } = \frac { 1 } { 10 }$ unit in the direction of $\mathbf { i } + \mathbf { j } ?$

• A) \(\frac { 3 } { 14585 }\)
• B) \(\frac { 3 } { 5834 }\)
• C) \(\frac { 21 } { 58340 }\)
• D) \(\frac { 3 } { 58340 }\)

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