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Popular >

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})

Popular Examples

extreme f(x,y)=sqrt(-x^2-y^2+4)extreme points

f (x, y) = - x^{2} - y^{2} + 4

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

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

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

f (x, y) = x^{2} - 2 x y + 2 y

extreme ln(x)-3x+2 extreme points

ln (x) - 3 x + 2

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

f (x) = 2 x^{2} - x^{3}

Frequently Asked Questions (FAQ)

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