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Beliebt Funktionen >

extreme f(x)=-5x^3+15x+6

Lösung

extrempunkte

f (x) = - 5 x^{3} + 15 x + 6

Lösung

Minimum (- 1, - 4), Maximum (1, 16)

Schritte zur Lösung

f^{'} (x) = - 15 x^{2} + 15

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - 1

in

- 5 x^{3} + 15 x + 6 : - 4

Minimum (- 1, - 4)

Stecke

x = 1

in

- 5 x^{3} + 15 x + 6 : 16

Maximum (1, 16)

Minimum (- 1, - 4), Maximum (1, 16)

Graph

Beliebte Beispiele

extreme f(x,y)=(x-5)(30-6x+4y)+(y-12)(80+8x-7y)

e x t re m e f (x, y) = (x - 5) (30 - 6 x + 4 y) + (y - 12) (80 + 8 x - 7 y)

extreme f(x)=-0.001x^2+3.4x-40

e x t re m e f (x) = - 0.001 x^{2} + 3.4 x - 40

extreme (sin(5x))/(sin^5(x))

e x t re m e \frac{sin ( 5 x )}{sin ^{5} ( x )}

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

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

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

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