de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme f(x)=x^{11}-3x^9+2

Lösung

extrempunkte

f (x) = x^{11} - 3 x^{9} + 2

Lösung

Maximum (- \frac{3 3}{11}, \frac{9565938 3}{161051 11} + 2), Sattel (0, 2), Minimum (\frac{3 3}{11}, - \frac{9565938 3}{161051 11} + 2)

Schritte zur Lösung

f^{'} (x) = 11 x^{10} - 27 x^{8}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{3 3}{11},

Absteigend

: - \frac{3 3}{11} < x < 0,

Absteigend

: 0 < x < \frac{3 3}{11},

Ansteigend

: \frac{3 3}{11} < x < \infty

Stecke

x = - \frac{3 3}{11}

in

x^{11} - 3 x^{9} + 2 : \frac{9565938 3}{161051 11} + 2

Maximum (- \frac{3 3}{11}, \frac{9565938 3}{161051 11} + 2)

Stecke

x = 0

in

x^{11} - 3 x^{9} + 2 : 2

Sattel (0, 2)

Stecke

x = \frac{3 3}{11}

in

x^{11} - 3 x^{9} + 2 : - \frac{9565938 3}{161051 11} + 2

Minimum (\frac{3 3}{11}, - \frac{9565938 3}{161051 11} + 2)

Maximum (- \frac{3 3}{11}, \frac{9565938 3}{161051 11} + 2), Sattel (0, 2), Minimum (\frac{3 3}{11}, - \frac{9565938 3}{161051 11} + 2)

Graph

Beliebte Beispiele

extreme f(x,y)=4xy+x^4+y^4

e x t re m e f (x, y) = 4 x y + x^{4} + y^{4}

derivative of sqrt((x^2-4(y^2-9)))

\frac{d}{d x} ((x^{2} - 4) (y^{2} - 9))

extreme \sqrt[9]{x^8}+1

e x t re m e 9 x^{8} + 1

e x t re m e f (x) = e

extreme f(x,y)=3x^2-9y^2-24x-54y+2

e x t re m e f (x, y) = 3 x^{2} - 9 y^{2} - 24 x - 54 y + 2