If \[y={{x}^{({{x}^{x}})}}\], then \[\frac{dy}{dx}=\] [AISSE 1989]

\[y[{{x}^{x}}({{\log }_{e}}x).\log x+{{x}^{x-1}}]\]

\[y[{{x}^{x}}(\log ex).\log x+{{x}^{x}}]\]

\[y[{{x}^{x}}(\log ex).\log x+x]\]

\[y[{{x}^{x}}(\log ex).\log x+{{x}^{x-1}}]\]

If \[y={{x}^{({{x}^{x}})}}\], then \[\frac{dy}{dx}=\] �

1.	If \[y={{x}^{({{x}^{x}})}}\], then \[\frac{dy}{dx}=\] [AISSE 1989]
A.	\[y[{{x}^{x}}(\log ex).\log x+{{x}^{x}}]\]
B.	\[y[{{x}^{x}}(\log ex).\log x+x]\]
C.	\[y[{{x}^{x}}(\log ex).\log x+{{x}^{x-1}}]\]
D.	\[y[{{x}^{x}}({{\log }_{e}}x).\log x+{{x}^{x-1}}]\]
Answer» D. \[y[{{x}^{x}}({{\log }_{e}}x).\log x+{{x}^{x-1}}]\]

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If \[y={{x}^{({{x}^{x}})}}\], then \[\frac{dy}{dx}=\] [AISSE 1989]

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