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Popular Functions >

extreme f(x)=x*e^x

Solution

extreme

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

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

Graph

Popular Examples

extreme f(x)=x^3+2x^2-20x,0<= x<= 3

extreme f(x)=-x^3+3x-1

extreme x^3-9x+2

extreme f(x)=2x^3-9x^2-60x+8

extreme f(x,y)=x^3-3xy+3y^2

Frequently Asked Questions (FAQ)

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