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** Step-by-step Solution **

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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

Learn how to solve implicit differentiation problems step by step online.

$\frac{d}{dx}\left(y^x\right)=\frac{d}{dx}\left(x^y\right)$

Learn how to solve implicit differentiation problems step by step online. Find the implicit derivative d/dx(y^x=x^y). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative \frac{d}{dx}\left(y^x\right) results in \frac{y^x\ln\left(y^x\right)}{-x+1}. The derivative \frac{d}{dx}\left(x^y\right) results in \frac{\left(x^y\right)^2}{\left(1-x^y\ln\left(x\right)\right)x}.

** Final Answer

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