A) \[{{x}^{x}}(1+\log x)\]
B) \[\log (ex)\]
C) \[\log \left( \frac{e}{x} \right)\]
D) None of these
Correct Answer: B
Solution :
\[y=\log {{x}^{x}}=x\log x\] Differentiating w.r.t. x, we get \[\frac{dy}{dx}=(1+\log x)=\log e+\log x=\log (ex)\] \[(\because \log e=1)\].You need to login to perform this action.
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