en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

extreme points

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

Solution

Minimum (2, - e^{2})

Solution steps

f^{'} (x) = e^{x} (x - 2)

Find intervals:

Decreasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 2

into

(x - 3) e^{x} : - e^{2}

Minimum (2, - e^{2})

Popular Examples

extreme f(x,y)=xln(x+y)extreme points

f (x, y) = x ln (x + y)

extreme f(x,y)=x^2+xy+y^2-7y+16 extreme points

f (x, y) = x^{2} + x y + y^{2} - 7 y + 16

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

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

extreme f(x)= 2/5 x^5-5x^4+16x^3+2 extreme points

f (x) = \frac{2}{5} x^{5} - 5 x^{4} + 16 x^{3} + 2

extreme f(x,y)=x^2+xy+y^2-19y+120 extreme points

f (x, y) = x^{2} + x y + y^{2} - 19 y + 120

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-3)e^x ?
The extreme f(x)=(x-3)e^x is Minimum(2,-e^2)