Final Answer
$y^{\prime}=\frac{-2xy-y^2}{\left(x+2y\right)x}$
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Step-by-step Solution
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Simplifying
$\frac{d}{dx}\left(yx^2+xy^2=0-211111\right)$
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$\frac{d}{dx}\left(yx^2+xy^2=0-211111\right)$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(yx^2+xy^2=0+1*-211111). Simplifying. Simplify the derivative by applying the properties of logarithms. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (-211111) is equal to zero.
Final Answer
$y^{\prime}=\frac{-2xy-y^2}{\left(x+2y\right)x}$