Question:medium

If \(y(x)=x^x,\ x>0\), then \[ y''(2)-2y'(2)= \]

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For \(x^x\), always use logarithmic differentiation: write \(\log y=x\log x\).

Updated On: May 7, 2026

\(4\log_e2-2\)
\(4\log_e2+2\)
\(4(\log_e2)^2+2\)
\(4(\log_e2)^2-2\)

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The Correct Option is D

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