1.

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

A.            \[{{({{x}^{x}})}^{x}}(1+2\log x)\]
B.            \[{{({{x}^{x}})}^{x}}(1+\log x)\]
C.          \[x{{({{x}^{x}})}^{x}}(1+2\log x)\]
D.            \[x\,{{({{x}^{x}})}^{x}}(1+\log x)\]
Answer» D.            \[x\,{{({{x}^{x}})}^{x}}(1+\log x)\]


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