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Let $f ( x , y ) = \frac { x ^ { 2 } } { \sin ^ { 2 } ( x y ) }$

Question 52

Multiple Choice

Let $f ( x , y ) = \frac { x ^ { 2 } } { \sin ^ { 2 } ( x y ) }$ . Then $f _ { y } ( x , y )$ is

A) $- \frac { 2 x ^ { 3 } \cos ( x y ) } { \sin ^ { 2 } ( x y ) }$
B) $\frac { 2 x ^ { 3 } \cos ( x y ) } { \sin ^ { 2 } ( x y ) }$
C) $- \frac { 2 x ^ { 3 } \sin ( x y ) } { \cos ^ { 2 } ( x y ) }$
D) $\frac { 2 x ^ { 3 } \sin ( x y ) } { \cos ^ { 2 } ( x y ) }$
E) $- \frac { 2 y ^ { 3 } \cos ( x y ) } { \sin ^ { 2 } ( x y ) }$

Let f(x,y)=x2sin⁡2(xy)f ( x , y ) = \frac { x ^ { 2 } } { \sin ^ { 2 } ( x y ) }f(x,y)=sin2(xy)x2​

Multiple Choice

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Let $f ( x , y ) = \frac { x ^ { 2 } } { \sin ^ { 2 } ( x y ) }$

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