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Derivative of Implicit Multivariable Function – Calculating Derivative to a one variable function – Exercise 6476

Exercise

Given that the equation

y^x-x^y=0

Defines the implicit function

y(x)

Find its derivative.

Final Answer


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

Solution

Coming soon…

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