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Derivative of Implicit Multivariable Function – Calculating derivative to a one-variable function – Exercise 3114

Exercise

The equation

$x^y=y^x$

Defines the implicit function

$y(x)$

Find its derivative y'(x).

Final Answer

y&apos;(x)=\frac{y^2}{x^2}\cdot\frac{1-\ln x}{1-\ln y}

Solution

Coming soon…

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