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)=\sqrt[3]{x(x^2-1)}

Lösung

extrempunkte

f (x) = 3 x (x^{2} - 1)

Lösung

Maximum (- \frac{1}{3}, 3 \frac{2}{3 3}), Minimum (\frac{1}{3}, - 3 \frac{2}{3 3})

Schritte zur Lösung

f^{'} (x) = \frac{3 x ^{2} - 1}{3 ( x ( x ^{2} - 1 ) ) ^{\frac{2}{3}}}

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < - \frac{1}{3},

Absteigend

: - \frac{1}{3} < x < 0,

Absteigend

: 0 < x < \frac{1}{3},

Ansteigend

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

Ansteigend

: 1 < x < \infty

Stecke

x = - \frac{1}{3}

in

3 x (x^{2} - 1) : 3 \frac{2}{3 3}

Maximum (- \frac{1}{3}, 3 \frac{2}{3 3})

Stecke

x = \frac{1}{3}

in

3 x (x^{2} - 1) : - 3 \frac{2}{3 3}

Minimum (\frac{1}{3}, - 3 \frac{2}{3 3})

Maximum (- \frac{1}{3}, 3 \frac{2}{3 3}), Minimum (\frac{1}{3}, - 3 \frac{2}{3 3})

Graph

Beliebte Beispiele

extreme f(x)=(x^5)/5-ln(x)

e x t re m e f (x) = \frac{x ^{5}}{5} - ln (x)

extreme f(x,y)=8x^4-x^2+3y^2

e x t re m e f (x, y) = 8 x^{4} - x^{2} + 3 y^{2}

extreme f(x,y)=3x^2+y^3-18xy+22

e x t re m e f (x, y) = 3 x^{2} + y^{3} - 18 x y + 22

extreme f(3.2)=-(40000t)/((3+t^2+2x^2)^2)

e x t re m e f (3.2) = - \frac{40000 t}{( 3 + t ^{2} + 2 x ^{2} ) ^{2}}

extreme (4e^{-2x})/(2x+5)

e x t re m e \frac{4 e ^{- 2 x}}{2 x + 5}