The interval in which is strictly decreasing

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Solution

Q.
The interval in which $f (x) = x^{x} (x > 0)$ is strictly decreasing

1 $(0, \frac{1}{e})$

2 $(0, \frac{1}{e^{2}})$

3 $(\frac{1}{e}, \infty)$

4 $(\frac{1}{e^{2}}, \infty)$

Ans.
(1)

$f^{1} (x) < 0$

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