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Popular Functions >

extreme f(x)=xe^x

Solution

extreme points

f (x) = x e^{x}

Solution

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

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

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

Graph

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Frequently Asked Questions (FAQ)

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