Find the implicit derivative d/dx(x^3+y^3=8xy)

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Solving: $\frac{d}{dx}\left(x^3+y^3=8xy\right)$

Solve instead: $\frac{dy}{dx}\left(x^3+y^3=8xy\right)$

 Exercise

$\frac{dy}{dx}\left(x^3+y^3=8xy\right)$

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Final answer to the exercise  

$y^{\prime}=\frac{-3x^{2}-3y^{\left(2+{\prime}\right)}+8y}{-8x}$

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Find the derivative using the definition
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Final answer to the exercise  