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

1.	If \[y={{x}^{({{x}^{x}})}}\], then \[\frac{dy}{dx}\]is
A.	\[y\left[ {{x}^{x}}(logex)logx+{{x}^{x}} \right]\]
B.	\[y\left[ {{x}^{x}}(logex)logx+x \right]\]
C.	\[y\left[ {{x}^{x}}(logex)logx+{{x}^{x-1}} \right]\]
D.	\[y\left[ {{x}^{x}}(lo{{g}_{e}}x)logx+{{x}^{x-1}} \right]\]
Answer» D. \[y\left[ {{x}^{x}}(lo{{g}_{e}}x)logx+{{x}^{x-1}} \right]\]

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

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