en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme y=x^4+4x^3-2

Solution

extreme points

y = x^{4} + 4 x^{3} - 2

Solution

Minimum (- 3, - 29), Saddle (0, - 2)

Solution steps

f^{'} (x) = 4 x^{3} + 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 3

into

x^{4} + 4 x^{3} - 2 : - 29

Minimum (- 3, - 29)

Plug

x = 0

into

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

Saddle (0, - 2)

Minimum (- 3, - 29), Saddle (0, - 2)

Popular Examples

extreme f(x)=cos((2pi)/3 x)extreme points

f (x) = cos (\frac{2 π}{3} x)

extreme P(x,y)=8x+10y-1(x^2+xy+y^2)-10000 extreme points

P (x, y) = 8 x + 10 y - 1 (x^{2} + x y + y^{2}) - 10000

extreme f(x,y)=3x^4+8x^3-18x^2+6y^2+12y-4 extreme points

f (x, y) = 3 x^{4} + 8 x^{3} - 18 x^{2} + 6 y^{2} + 12 y - 4

extreme f(x)=-x^3+3x^2+45x-7 extreme points

f (x) = - x^{3} + 3 x^{2} + 45 x - 7

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

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

Frequently Asked Questions (FAQ)

What is the extreme y=x^4+4x^3-2 ?
The extreme y=x^4+4x^3-2 is Minimum(-3,-29),Saddle(0,-2)