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Beliebt Funktionen >

extreme 2x^3-2x^2-2x+3

Lösung

extrempunkte

2 x^{3} - 2 x^{2} - 2 x + 3

Lösung

Maximum (- \frac{1}{3}, \frac{91}{27}), Minimum (1, 1)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 4 x - 2

Intervalle finden:

Ansteigend

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

Absteigend

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

Ansteigend

: 1 < x < \infty

Stecke

x = - \frac{1}{3}

in

2 x^{3} - 2 x^{2} - 2 x + 3 : \frac{91}{27}

Maximum (- \frac{1}{3}, \frac{91}{27})

Stecke

x = 1

in

2 x^{3} - 2 x^{2} - 2 x + 3 : 1

Minimum (1, 1)

Maximum (- \frac{1}{3}, \frac{91}{27}), Minimum (1, 1)

Graph

Beliebte Beispiele

extreme f(y,x)=0.6x+0.1y-0.01xy

e x t re m e f (y, x) = 0.6 x + 0.1 y - 0.01 x y

extreme f(x)=3x^4-8x^3+10

e x t re m e f (x) = 3 x^{4} - 8 x^{3} + 10

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

e x t re m e f (x) = (x - 2)^{\frac{1}{3}}

extreme f(x)=-x^3+x^2-9x+8,-1<= x<= 5

e x t re m e f (x) = - x^{3} + x^{2} - 9 x + 8, - 1 \leq x \leq 5

extreme f(x)=2e^{x^2-2x+1}

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