en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=x^2e^x-2

Solution

extreme points

y = x^{2} e^{x} - 2

Solution

Maximum (- 2, \frac{4}{e ^{2}} - 2), Minimum (0, - 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 2

into

x^{2} e^{x} - 2 : \frac{4}{e ^{2}} - 2

Maximum (- 2, \frac{4}{e ^{2}} - 2)

Plug

x = 0

into

x^{2} e^{x} - 2 : - 2

Minimum (0, - 2)

Maximum (- 2, \frac{4}{e ^{2}} - 2), Minimum (0, - 2)

Popular Examples

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

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

extreme 7x-0.005x^2-3.6x-70 extreme points

7 x - 0.005 x^{2} - 3.6 x - 70

extreme+sqrt(x^2-2x-8)extreme points

+ x^{2} - 2 x - 8

extreme f(x)=7xy-λ(6x+11y-2)extreme points

f (x) = 7 x y - λ (6 x + 11 y - 2)

extreme (x+3)/(x^2-4x-21)extreme points

\frac{x + 3}{x ^{2} - 4 x - 21}

Frequently Asked Questions (FAQ)

What is the extreme y=x^2e^x-2 ?
The extreme y=x^2e^x-2 is Maximum(-2, 4/(e^2)-2),Minimum(0,-2)