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^3+4x^2+3x-2

Lösung

extrempunkte

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

Lösung

Minimum (- \frac{1}{3}, - \frac{68}{27}), Maximum (3, 16)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 8 x + 3

Intervalle finden:

Absteigend

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

Ansteigend

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

Absteigend

: 3 < x < \infty

Stecke

x = - \frac{1}{3}

in

- x^{3} + 4 x^{2} + 3 x - 2 : - \frac{68}{27}

Minimum (- \frac{1}{3}, - \frac{68}{27})

Stecke

x = 3

in

- x^{3} + 4 x^{2} + 3 x - 2 : 16

Maximum (3, 16)

Minimum (- \frac{1}{3}, - \frac{68}{27}), Maximum (3, 16)

Graph

Beliebte Beispiele

extreme f(x)=(x*e^x)/(e^x-e)

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

extreme f(x)=-x^2+5x-6

e x t re m e f (x) = - x^{2} + 5 x - 6

extreme f(x)=-x^2+5x-1

e x t re m e f (x) = - x^{2} + 5 x - 1

extreme f(x)=(0.9)/(1+6e^{-0.32x)}

e x t re m e f (x) = \frac{0.9}{1 + 6 e ^{- 0.32 x}}

extreme f(x,y)=x^2+3xy+4.5y^2+4x

e x t re m e f (x, y) = x^{2} + 3 x y + 4.5 y^{2} + 4 x