If \(y=x^x\), then \(\frac{dy}{dx}\) at \(x=e\) is
A. \(2e\)
B. \(2e^e\)
C. \(e^e\)
D. \(e^{e+1}\)
A. \(2e\)
B. \(2e^e\)
C. \(e^e\)
D. \(e^{e+1}\)
Best answer
Answer: B. \(2e^e\)
\(\frac{dy}{dx}=x^x(1+\ln x)\); at \(x=e\): \(e^e(1+1)=2e^e\).
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