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-1)e^x

Solution

extreme points

f (x) = (x - 1) e^{x}

Solution

Minimum (0, - 1)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

(x - 1) e^{x} : - 1

Minimum (0, - 1)

Popular Examples

extreme (x^2+1)/(x^2-4)extreme points

\frac{x ^{2} + 1}{x ^{2} - 4}

extreme f(x,y)=-x^2-y^2+8x+6y extreme points

f (x, y) = - x^{2} - y^{2} + 8 x + 6 y

extreme f(x)=x+e^{-2x}extreme points

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

extreme f(x)=(x+1)/(x^2+x+1)extreme points

f (x) = \frac{x + 1}{x ^{2} + x + 1}

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

f (x) = - x (x + 2) (x - 2)

Frequently Asked Questions (FAQ)

What is the extreme f(x)=(x-1)e^x ?
The extreme f(x)=(x-1)e^x is Minimum(0,-1)