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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'(x)=\frac{y^2}{x^2}\cdot\frac{1-\ln x}{1-\ln y}

Solution

Coming soon…

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