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Popular Functions >

extreme f(x)=3xe^x

Solution

extreme points

f (x) = 3 x e^{x}

Solution

Minimum (- 1, - \frac{3}{e})

Solution steps

f^{'} (x) = 3 (e^{x} + e^{x} x)

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

Plug

x = - 1

into

3 x e^{x} : - \frac{3}{e}

Minimum (- 1, - \frac{3}{e})

Graph

Popular Examples

extreme f(x)=sqrt(4-x^2)

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extreme f(x)=x^4-12x^3-29

extreme f(x)=xe^{x/2}

extreme f(x)=sqrt(25-x^2-y^2)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=3xe^x ?
The extreme f(x)=3xe^x is Minimum(-1,-3/e)