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)=4xsqrt(x-x^2)

Lösung

extrempunkte

f (x) = 4 x x - x^{2}

Lösung

Minimum (0, 0), Maximum (\frac{3}{4}, \frac{3 3}{4}), Minimum (1, 0)

Schritte zur Lösung

f^{'} (x) = \frac{2 ( - 4 x ^{2} + 3 x )}{x - x ^{2}}

Intervalle finden:

Ansteigend

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

Absteigend

: \frac{3}{4} < x < 1

Stecke

x = 0

in

4 x x - x^{2} : 0

Minimum (0, 0)

Stecke

x = \frac{3}{4}

in

4 x x - x^{2} : \frac{3 3}{4}

Maximum (\frac{3}{4}, \frac{3 3}{4})

Stecke

x = 1

in

4 x x - x^{2} : 0

Minimum (1, 0)

Minimum (0, 0), Maximum (\frac{3}{4}, \frac{3 3}{4}), Minimum (1, 0)

Graph

Beliebte Beispiele

extreme x^3+y^3-2xy

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

extreme f(x,y)=x^3+y^3+6x^2-9y^2-4

e x t re m e f (x, y) = x^{3} + y^{3} + 6 x^{2} - 9 y^{2} - 4

extreme f(x)= 1/9 (x^4-4x^3)

e x t re m e f (x) = \frac{1}{9} (x^{4} - 4 x^{3})

extreme f(x)=x^3+2x^2-x-10

e x t re m e f (x) = x^{3} + 2 x^{2} - x - 10

extreme f(x)=(x^3+1)/x

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