Derivative of an Implicit Function

Question

For the curve defined by the equation x²y - xy² + sin(xy) = 5, what is the expression for dy/dx?

Accepted Answer

$$\frac{y^2 - 2xy - y\cos(xy)}{x^2 - 2xy + x\cos(xy)}$$

Answer

$$\frac{2xy - y^2 + \cos(xy)}{x^2 - 2xy + x\cos(xy)}$$

Answer

$$\frac{y^2 - 2xy + y\cos(xy)}{2xy - x^2 - x\cos(xy)}$$

Answer

$$\frac{y^2 - 2xy + y\cos(xy)}{x^2 - 2xy + x\cos(xy)}$$

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