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^3-3x^2-9x+15

Lösung

extrempunkte

f (x) = x^{3} - 3 x^{2} - 9 x + 15

Lösung

Maximum (- 1, 20), Minimum (3, - 12)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 6 x - 9

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 1

in

x^{3} - 3 x^{2} - 9 x + 15 : 20

Maximum (- 1, 20)

Stecke

x = 3

in

x^{3} - 3 x^{2} - 9 x + 15 : - 12

Minimum (3, - 12)

Maximum (- 1, 20), Minimum (3, - 12)

Graph

Beliebte Beispiele

extreme f(x)=x^3-2x^4

e x t re m e f (x) = x^{3} - 2 x^{4}

extreme x^{1/3}(x+4)

e x t re m e x^{\frac{1}{3}} (x + 4)

extreme f(x,y)=xy(7+x)(y-3)

e x t re m e f (x, y) = x y (7 + x) (y - 3)

extreme f(x)=-(15)/(x^2-19x+16)

e x t re m e f (x) = - \frac{15}{x ^{2} - 19 x + 16}

extreme f(x)=x+9/x ,0.2<= x<= 12

e x t re m e f (x) = x + \frac{9}{x}, 0.2 \leq x \leq 12