en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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})

Popular Examples

extreme x^4-8x^2+3 extreme points

x^{4} - 8 x^{2} + 3

extreme f(x,y)=-x^2-y^2-2y+5 extreme points

f (x, y) = - x^{2} - y^{2} - 2 y + 5

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

f (x) = 4 - x^{2}

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

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

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

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

Frequently Asked Questions (FAQ)

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