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^2(5-4x)^2

Lösung

extrempunkte

f (x) = x^{2} (5 - 4 x)^{2}

Lösung

Minimum (0, 0), Maximum (\frac{5}{8}, \frac{625}{256}), Minimum (\frac{5}{4}, 0)

Schritte zur Lösung

f^{'} (x) = 2 x (4 x - 5) (8 x - 5)

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{5}{8},

Absteigend

: \frac{5}{8} < x < \frac{5}{4},

Ansteigend

: \frac{5}{4} < x < \infty

Stecke

x = 0

in

x^{2} (5 - 4 x)^{2} : 0

Minimum (0, 0)

Stecke

x = \frac{5}{8}

in

x^{2} (5 - 4 x)^{2} : \frac{625}{256}

Maximum (\frac{5}{8}, \frac{625}{256})

Stecke

x = \frac{5}{4}

in

x^{2} (5 - 4 x)^{2} : 0

Minimum (\frac{5}{4}, 0)

Minimum (0, 0), Maximum (\frac{5}{8}, \frac{625}{256}), Minimum (\frac{5}{4}, 0)

Graph

Beliebte Beispiele

senkrecht y=4x-7,(0,-6)

p er p e n d i c u l a r y = 4 x - 7, (0, - 6)

bereich f(x)=|x|

r an g e f (x) = ∣ x ∣

domäne-log_{2}(x)

d o main - lo g_{2} (x)

gerade (-3, 1/32),(3,128)

l in e (- 3, \frac{1}{32}), (3, 128)

invers f(x)=\sqrt[3]{1/3 (x+6)}+5

in v erse f (x) = 3 \frac{1}{3} (x + 6) + 5