de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme x^4-5x^3+x^2+21x-18

Lösung

extrempunkte

x^{4} - 5 x^{3} + x^{2} + 21 x - 18

Lösung

Minimum (- 1, - 32), Maximum (\frac{7}{4}, \frac{1125}{256}), Minimum (3, 0)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 15 x^{2} + 2 x + 21

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < \frac{7}{4},

Absteigend

: \frac{7}{4} < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 1

in

x^{4} - 5 x^{3} + x^{2} + 21 x - 18 : - 32

Minimum (- 1, - 32)

Stecke

x = \frac{7}{4}

in

x^{4} - 5 x^{3} + x^{2} + 21 x - 18 : \frac{1125}{256}

Maximum (\frac{7}{4}, \frac{1125}{256})

Stecke

x = 3

in

x^{4} - 5 x^{3} + x^{2} + 21 x - 18 : 0

Minimum (3, 0)

Minimum (- 1, - 32), Maximum (\frac{7}{4}, \frac{1125}{256}), Minimum (3, 0)

Graph

Beliebte Beispiele

e x t re m e x^{2} + 64

extreme x^3-3x^2-9x+9

e x t re m e x^{3} - 3 x^{2} - 9 x + 9

extreme f(x)=x(x-9)^2

e x t re m e f (x) = x (x - 9)^{2}

extreme f(x)=-2/3 x^3+2x^2+60

e x t re m e f (x) = - \frac{2}{3} x^{3} + 2 x^{2} + 60

extreme f(x)=(sqrt(x)(x-4)^2)/4

e x t re m e f (x) = \frac{x ( x - 4 ) ^{2}}{4}