de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme ((x^2)/4-x/2-1/4)^2

Lösung

extrempunkte

(\frac{x ^{2}}{4} - \frac{x}{2} - \frac{1}{4})^{2}

Lösung

Minimum (1 - 2, 0), Maximum (1, \frac{1}{4}), Minimum (1 + 2, 0)

Schritte zur Lösung

f^{'} (x) = (x - 1) (\frac{x ^{2} - 1}{4} - \frac{x}{2})

Intervalle finden:

Absteigend

: - \infty < x < 1 - 2,

Ansteigend

: 1 - 2 < x < 1,

Absteigend

: 1 < x < 1 + 2,

Ansteigend

: 1 + 2 < x < \infty

Stecke

x = 1 - 2

in

(\frac{x ^{2}}{4} - \frac{x}{2} - \frac{1}{4})^{2} : 0

Minimum (1 - 2, 0)

Stecke

x = 1

in

(\frac{x ^{2}}{4} - \frac{x}{2} - \frac{1}{4})^{2} : \frac{1}{4}

Maximum (1, \frac{1}{4})

Stecke

x = 1 + 2

in

(\frac{x ^{2}}{4} - \frac{x}{2} - \frac{1}{4})^{2} : 0

Minimum (1 + 2, 0)

Minimum (1 - 2, 0), Maximum (1, \frac{1}{4}), Minimum (1 + 2, 0)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+y^3+3xy^2-18(x+y)

e x t re m e f (x, y) = x^{3} + y^{3} + 3 x y^{2} - 18 (x + y)

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

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

extreme y=-4e^{-4t}-5e^{-5t}

e x t re m e y = - 4 e^{- 4 t} - 5 e^{- 5 t}

extreme ((x^2-5)^3)/(125)

e x t re m e \frac{( x ^{2} - 5 ) ^{3}}{125}

extreme f(x)=2x^2-6x+4,0<= x<= 10

e x t re m e f (x) = 2 x^{2} - 6 x + 4, 0 \leq x \leq 10