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Popular Functions >

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})

Graph

Popular Examples

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

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

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

line y+3=-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))