If \( \left(x^{x}+y^{x}\right)=1 \), show that \( \frac{d y}{d x}=-\left\{\frac{x^{x}(1+\log x)+...
If \( \left(x^{x}+y^{x}\right)=1 \), show that \( \frac{d y}{d x}=-\left\{\frac{x^{x}(1+\log x)+y^{x}(\log y)}{x y^{x-1}}\right\} \)
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