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Popular >

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

Solution

extreme points

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

Solution

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

Solution steps

f^{'} (x) = e^{2 x} + 2 e^{2 x} x

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

x e^{2 x} : - \frac{1}{2 e}

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

Popular Examples

domain of 1/5 domain

\frac{1}{5}

asymptotes of (2x^2+3)/(x-2)asymptotes

\frac{2 x ^{2} + 3}{x - 2}

monotone f(x)=x^2+4x+4 monotone intervals

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

range of f(x)=-(10)/x range

f (x) = - \frac{10}{x}

line y+3=-4/3 (x-4)line

y + 3 = - \frac{4}{3} (x - 4)

Frequently Asked Questions (FAQ)

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