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Beliebt Funktionen >

extreme-2x^3+3x^2

Lösung

extrempunkte

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

Lösung

Minimum (0, 0), Maximum (1, 1)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = 0

in

- 2 x^{3} + 3 x^{2} : 0

Minimum (0, 0)

Stecke

x = 1

in

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

Maximum (1, 1)

Minimum (0, 0), Maximum (1, 1)

Graph

Beliebte Beispiele

extreme f(x,y)=2xy-1/2 (x^4+y^4)+1

e x t re m e f (x, y) = 2 x y - \frac{1}{2} (x^{4} + y^{4}) + 1

extreme f(x,y)=x+y+1/x+4/y

e x t re m e f (x, y) = x + y + \frac{1}{x} + \frac{4}{y}

extreme 3x^4-7x^2+6x^2-5x-8

e x t re m e 3 x^{4} - 7 x^{2} + 6 x^{2} - 5 x - 8

extreme P(x,y)=200x^{1/2}y^{1/2}

e x t re m e P (x, y) = 200 x^{\frac{1}{2}} y^{\frac{1}{2}}

extreme f(x)=(x^2)/(9-x^2)

e x t re m e f (x) = \frac{x ^{2}}{9 - x ^{2}}