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Beliebt Funktionen >

extreme g(x)=-x^3+3x-10

Lösung

extrempunkte

g (x) = - x^{3} + 3 x - 10

Lösung

Minimum (- 1, - 12), Maximum (1, - 8)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - 1

in

- x^{3} + 3 x - 10 : - 12

Minimum (- 1, - 12)

Stecke

x = 1

in

- x^{3} + 3 x - 10 : - 8

Maximum (1, - 8)

Minimum (- 1, - 12), Maximum (1, - 8)

Graph

Beliebte Beispiele

extreme f(x)=(x^4-5x+7)/(x^2+1)

e x t re m e f (x) = \frac{x ^{4} - 5 x + 7}{x ^{2} + 1}

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

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

extreme y=(-8-8x^2)/(2sqrt(x)(1+x))

e x t re m e y = \frac{- 8 - 8 x ^{2}}{2 x ( 1 + x )}

extreme f(t)=(e^t)/(t^2+1)

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

extreme (x+3)/(x-2)

e x t re m e \frac{x + 3}{x - 2}