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Beliebt Funktionen >

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

Lösung

extrempunkte

f (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 y=4x+4sin(x)

e x t re m e y = 4 x + 4 sin (x)

extreme f(x,y)=x^3+y^3-147x-75y-10

e x t re m e f (x, y) = x^{3} + y^{3} - 147 x - 75 y - 10

extreme f(x)=x^3-4x^2-16x+2

e x t re m e f (x) = x^{3} - 4 x^{2} - 16 x + 2

extreme f(x)=x^3-4x^2-16x-1

e x t re m e f (x) = x^{3} - 4 x^{2} - 16 x - 1

extreme f(x,y)=sqrt(400-49x^2-64y^2)

e x t re m e f (x, y) = 400 - 49 x^{2} - 64 y^{2}