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Question 30
Using implicit differentiation on ey+sin(x−y) =x2,y′e ^ { y } + \sin ( x - y ) = x ^ { 2 } , y ^ { \prime }ey+sin(x−y) =x2,y′ is
A) cos(x−y) −2xey−cos(x−y) \frac { \cos ( x - y ) - 2 x } { e ^ { y } - \cos ( x - y ) }ey−cos(x−y) cos(x−y) −2x B) 1−2xey−1\frac { 1 - 2 x } { e ^ { y } - 1 }ey−11−2x C) 2−1xey−1\frac { 2 - 1 x } { e ^ { y } - 1 }ey−12−1x D) 2x−cos(x−y) ey−cos(x−y) \frac { 2 x - \cos ( x - y ) } { e ^ { y } - \cos ( x - y ) }ey−cos(x−y) 2x−cos(x−y) E) 2x+cos(x−y) ey−cos(x−y) \frac { 2 x + \cos ( x - y ) } { e ^ { y } - \cos ( x - y ) }ey−cos(x−y) 2x+cos(x−y)
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