If \[y={{x}^{x}}\], then \[\frac{dy}{dx}=\] [AISSE 1984; DSSE 1982; MNR 1979; SCRA 1996; RPET 1996; Kerala (Engg.) 2002]

\[{{x}^{x}}\left( 1+\frac{1}{x} \right)\]

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

1.	If \[y={{x}^{x}}\], then \[\frac{dy}{dx}=\] [AISSE 1984; DSSE 1982; MNR 1979; SCRA 1996; RPET 1996; Kerala (Engg.) 2002]
A.	\[{{x}^{x}}\log ex\]
B.	\[{{x}^{x}}\left( 1+\frac{1}{x} \right)\]
C.	\[(1+\log x)\]
D.	\[{{x}^{x}}\log x\]
Answer» B. \[{{x}^{x}}\left( 1+\frac{1}{x} \right)\]

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If \[y={{x}^{x}}\], then \[\frac{dy}{dx}=\] [AISSE 1984; DSSE 1982; MNR 1979; SCRA 1996; RPET 1996; Kerala (Engg.) 2002]

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