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Popular Functions >

extreme y=xe^x

Solution

extreme points

y = 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

Popular Examples

extreme f(x,y)=(6x-x^2)(4y-y^2)

extreme f(x,y)=x^2-2xy+2y

extreme f(x)=2x^2-x^3

extreme f(x)=-x^2+6x+1,5<= x<= 8

extreme f(x)=x^3+2x^2-4x+8

Frequently Asked Questions (FAQ)

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