Calculus-Online » Calculus Solutions » Multivariable Functions » Multivariable Derivative » Derivative of Implicit Multivariable Function » Derivative of Implicit Multivariable Function – Calculating Derivative to a one variable function – Exercise 6476

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

Solution

Coming soon…

Share with Friends