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 6474

Derivative of Implicit Multivariable Function – Calculating Derivative to a one variable function – Exercise 6474

Exercise

Given that the equation

$xe^y+ye^x-e^{xy}=0$

Defines the implicit function

$y(x)$

Find its derivative.

Final Answer

y&apos;(x)=\frac{-e^y-ye^x+ye^{xy}}{xe^y+e^x-xe^{xy}}

Solution

Coming soon…

Share with Friends