differentiation

Question: If ${x^y} = {y^x},$then $\frac{{dy}}{{dx}} = $

1) $\frac{{y(x{{\log }_e}y + y)}}{{x(y{{\log }_e}x + x)}}$

2) $\frac{{y(x{{\log }_e}y - y)}}{{x(y{{\log }_e}x - x)}}$

3) $\frac{{x(x{{\log }_e}y - y)}}{{y(y{{\log }_e}x - x)}}$

4) $\frac{{x(x{{\log }_e}y + y)}}{{y(y{{\log }_e}x + x)}}$

Solution:

Explanation: Explanation

Implicit-function

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