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Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x​​​​​​​=0

Using the implicit form derivative rule: y'=-Fx' / Fy' :

y'=-(2 x sin(x+y)+x2 cos(x+y)-5 y ex) / (x2 cos(x+y)-5 ex)

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