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Beliebt Funktionen >

extreme f(x)=(x-4)(x+1)(x+4)

Lösung

extrempunkte

f (x) = (x - 4) (x + 1) (x + 4)

Lösung

Maximum (- \frac{8}{3}, \frac{400}{27}), Minimum (2, - 36)

Schritte zur Lösung

f^{'} (x) = (x - 2) (3 x + 8)

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{8}{3},

Absteigend

: - \frac{8}{3} < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - \frac{8}{3}

in

(x - 4) (x + 1) (x + 4) : \frac{400}{27}

Maximum (- \frac{8}{3}, \frac{400}{27})

Stecke

x = 2

in

(x - 4) (x + 1) (x + 4) : - 36

Minimum (2, - 36)

Maximum (- \frac{8}{3}, \frac{400}{27}), Minimum (2, - 36)

Graph

Beliebte Beispiele

extreme f(x)=e^x(x+3)

e x t re m e f (x) = e^{x} (x + 3)

extreme e^x(x+3)

e x t re m e e^{x} (x + 3)

extreme f(x,y)=e^xy+3x^2y-y

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

extreme y=2(x^2-7x+10)

e x t re m e y = 2 (x^{2} - 7 x + 10)

extreme (3-x^2)/2

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