en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^4-x^3+2x^2-1

Solution

extreme points

x^{4} - x^{3} + 2 x^{2} - 1

Solution

Minimum (0, - 1)

Solution steps

f^{'} (x) = 4 x^{3} - 3 x^{2} + 4 x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{4} - x^{3} + 2 x^{2} - 1 : - 1

Minimum (0, - 1)

Popular Examples

extreme f(x)= 1/2 (3x-1),x<= 3 extreme points

f (x) = \frac{1}{2} (3 x - 1), x \leq 3

extreme f(x,y)=x^3-12xy+y^3 extreme points

f (x, y) = x^{3} - 12 x y + y^{3}

extreme f(x)=3xln(x)extreme points

f (x) = 3 x ln (x)

extreme f(x,y)=5x^2+5y^2+5xy-10x-5y+18 extreme points

f (x, y) = 5 x^{2} + 5 y^{2} + 5 x y - 10 x - 5 y + 18

extreme f(x,y)=x^3+3xy^2-15x^2-15y^2+72x extreme points

f (x, y) = x^{3} + 3 x y^{2} - 15 x^{2} - 15 y^{2} + 72 x

Frequently Asked Questions (FAQ)

What is the extreme x^4-x^3+2x^2-1 ?
The extreme x^4-x^3+2x^2-1 is Minimum(0,-1)