de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme y=(x^4}{12}-\frac{x^3)/2+x^2+10

Lösung

extrempunkte

y = \frac{x ^{4}}{12} - \frac{x ^{3}}{2} + x^{2} + 10

Lösung

Minimum (0, 10)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = 0

in

\frac{x ^{4}}{12} - \frac{x ^{3}}{2} + x^{2} + 10 : 10

Minimum (0, 10)

Graph

Beliebte Beispiele

extreme f(x)=(x-2)^7(x+4)^7

e x t re m e f (x) = (x - 2)^{7} (x + 4)^{7}

extreme sin^8(x)+cos^8(x)

e x t re m e sin^{8} (x) + cos^{8} (x)

extreme f(x,y)=sqrt(400-81x^2-4y^2)

e x t re m e f (x, y) = 400 - 81 x^{2} - 4 y^{2}

extreme f(x)=9t^2+4t-10

e x t re m e f (x) = 9 t^{2} + 4 t - 10

extreme (x^2-4)^{1/7},-2<= x<= 3

e x t re m e (x^{2} - 4)^{\frac{1}{7}}, - 2 \leq x \leq 3