Find the Direction in Which the Maximum Rate of Change $f ( x , y ) = 2 \sin ( x y ) , ( 1,0 )$

question 27

Multiple Choice

Find the direction in which the maximum rate of change of f at the given point occurs. $f ( x , y ) = 2 \sin ( x y ) , ( 1,0 )$

• A) \(\langle2,0 \rangle\)
• B) \(\langle1 , - \sqrt { 2 } \rangle\)
• C) \(\langle \sqrt { 2 } , 0 \rangle\)
• D) \(\langle0,2 \rangle\)
• E) \(\left\langle\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right\rangle\)

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