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differentiation

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


1) $ - \frac{{y{x^{y - 1}} + {y^x}\log y}}{{x{y^{x - 1}} + {x^y}\log x}}$
2) $\frac{{y{x^{y - 1}} + {y^x}\log y}}{{x{y^{x - 1}} + {x^y}\log x}}$
3) $ - \frac{{y{x^{y - 1}} + {y^x}}}{{x{y^{x - 1}} + {x^y}l}}$
4) $\frac{{y{x^{y - 1}} + {y^x}}}{{x{y^{x - 1}} + {x^y}}}$
Solution: Explanation: Explanation
Implicit-function

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