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Popular >

extreme xe^x

Solution

extreme points

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})

Popular Examples

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extreme f(x)=x^4-32x^2+9 extreme points

f (x) = x^{4} - 32 x^{2} + 9

periodicity of f(x)=sin((2pi)/3)x periodicity

f (x) = sin (\frac{2 π}{3}) x

inverse of \sqrt[3]{2x-4}inverse

Frequently Asked Questions (FAQ)

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