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Using Implicit Differentiation On y=xsiny,yy = x \sin y , y ^ { \prime }

Question 50

Multiple Choice

Using implicit differentiation on y=xsiny,yy = x \sin y , y ^ { \prime } is


A) cosy1xsiny\frac { \cos y } { 1 - x \sin y }
B) cosy1+xsiny\frac { \cos y } { 1 + x \sin y }
C) siny1xcosy\frac { \sin y } { 1 - x \cos y }
D) siny1+xcosy\frac { \sin y } { 1 + x \cos y }
E) sinyxcosy1\frac { \sin y } { x \cos y - 1 }

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