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Popular >

extreme x^{2x}

Solution

extreme points

x^{2 x}

Solution

Minimum (\frac{1}{e}, (\frac{1}{e})^{\frac{2}{e}})

Solution steps

f^{'} (x) = 2 x^{2 x} (ln (x) + 1)

Find intervals:

Decreasing

: 0 < x < \frac{1}{e},

Increasing

: \frac{1}{e} < x < \infty

Plug

x = \frac{1}{e}

into

x^{2 x} : (\frac{1}{e})^{\frac{2}{e}}

Minimum (\frac{1}{e}, (\frac{1}{e})^{\frac{2}{e}})

Popular Examples

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extreme y=5x+(180)/x extreme points

y = 5 x + \frac{180}{x}

Frequently Asked Questions (FAQ)

What is the extreme x^{2x} ?
The extreme x^{2x} is Minimum(1/e ,(1/e)^{2/e})