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The interval in which the function \(f(x)={x}^{x},x>0\), is strictly increasing is [JEE Main 2024, 6 Apr (Shift 1)]

Q1

The interval in which the function \(f(x)={x}^{x},x>0\), is strictly increasing is

[JEE Main 2024, 6 Apr (Shift 1)]

a

\(\left[\frac{1}{e},\infty \right)\)

b

\(\left[\frac{1}{{e}^{2}},1\right)\)

c

\(\left(0,\frac{1}{e}\right]\)

d

\((0,\infty )\)

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