Given the equation xy-e & # 710; 2x = siny, determine the implicit function y = y (x), and find dy / DX Please give the specific steps!

xy-eˆ(2x)=siny
If we take the derivative of X on both sides, we get the following result
y+x(dy/dx)-2eˆ(2x)=(cosy)*(dy/dx)
(x-cosy)*(dy/dx) =2eˆ(2x)-y
dy/dx=[2eˆ(2x)-y]/(x-cosy)

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