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

Solution

Coming soon…

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