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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (- 1, 32), Minimum (3, 0)

Schritte zur Lösung

f^{'} (x) = 3 (x - 3) (x + 1)

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 1

in

(x + 3) (x - 3)^{2} : 32

Maximum (- 1, 32)

Stecke

x = 3

in

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

Minimum (3, 0)

Maximum (- 1, 32), Minimum (3, 0)

Graph

Beliebte Beispiele

extreme f(x)=(x+5)/(x^2-x-30)

e x t re m e f (x) = \frac{x + 5}{x ^{2} - x - 30}

extreme f(x)=-x^2+9,-4<= x<= 3

e x t re m e f (x) = - x^{2} + 9, - 4 \leq x \leq 3

extreme f(x,y)=(x^3+9)/(x^2)

e x t re m e f (x, y) = \frac{x ^{3} + 9}{x ^{2}}

extreme f(x)=x^2+10xy+y^2

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

extreme f(x)=14+4x-x^2

e x t re m e f (x) = 14 + 4 x - x^{2}