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Beliebt Funktionen >

extreme f(x)= 1/3 x^3-2x^2+3x-4[-2.5]

Lösung

extrempunkte

f (x) = \frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4 [- 2.5]

Lösung

Maximum (\frac{4 - 4}{2}, 11.33333 \dots), Minimum (\frac{4 + 4}{2}, 10)

Schritte zur Lösung

f^{'} (x) = 1 x^{2} - 4 x + 3

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = \frac{4 - 4}{2}

in

\frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4 [- 2.5] : 11.33333 \dots

Maximum (\frac{4 - 4}{2}, 11.33333 \dots)

Stecke

x = \frac{4 + 4}{2}

in

\frac{1}{3} x^{3} - 2 x^{2} + 3 x - 4 [- 2.5] : 10

Minimum (\frac{4 + 4}{2}, 10)

Maximum (\frac{4 - 4}{2}, 11.33333 \dots), Minimum (\frac{4 + 4}{2}, 10)

Graph

Beliebte Beispiele

extreme f(x,y)=3x^3-(y+1)^3-9xy+3y+1

e x t re m e f (x, y) = 3 x^{3} - (y + 1)^{3} - 9 x y + 3 y + 1

extreme f(x)=(x^4)/4-x^3+3

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

extreme f(x)=-3(x+2)e^{4x},(-5,0)

e x t re m e f (x) = - 3 (x + 2) e^{4 x}, (- 5, 0)

extreme f(x)=(x^4-4x^3)/2

e x t re m e f (x) = \frac{x ^{4} - 4 x ^{3}}{2}

extreme f(x)=0.5x^2+15x+5000

e x t re m e f (x) = 0.5 x^{2} + 15 x + 5000