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Popular >

extreme f(x)=2x^{4x}

Solution

extreme points

f (x) = 2 x^{4 x}

Solution

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

Solution steps

f^{'} (x) = 8 x^{4 x} (ln (x) + 1)

Find intervals:

Decreasing

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

Increasing

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

Plug

x = \frac{1}{e}

into

2 x^{4 x} : 2 (\frac{1}{e})^{\frac{4}{e}}

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

Popular Examples

domain of f(x)=-2(x+3)^2-1 domain

f (x) = - 2 (x + 3)^{2} - 1

inverse of f(x)=log_{6}(2x)+log_{6}(3)inverse

f (x) = lo g_{6} (2 x) + lo g_{6} (3)

inverse of f(x)=x^2-7x inverse

f (x) = x^{2} - 7 x

inverse of f(x)= x/5-3/5 inverse

f (x) = \frac{x}{5} - \frac{3}{5}

parallel-2/5 x+4 parallel

- \frac{2}{5} x + 4

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x^{4x} ?
The extreme f(x)=2x^{4x} is Minimum(1/e ,2(1/e)^{4/e})