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The maximum value of x^(1/x),x >0 is...

The maximum value of `x^(1/x),x >0` is (a)`e^(1/e)` (b) `(1/e)^e` (c) `1` (d) none of these

Text Solution

Verified by Experts

Let `y=x^{frac{1}{x}}`

Therefore,

`log y=log _{e} x`

Differentiating w.r.t `x`,

So,

...
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