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Beliebt Funktionen >

extreme f(x)=(x+14)(x-7)^2

Lösung

extrempunkte

f (x) = (x + 14) (x - 7)^{2}

Lösung

Maximum (- 7, 1372), Minimum (7, 0)

Schritte zur Lösung

f^{'} (x) = 3 (x - 7) (x + 7)

Intervalle finden:

Ansteigend

: - \infty < x < - 7,

Absteigend

: - 7 < x < 7,

Ansteigend

: 7 < x < \infty

Stecke

x = - 7

in

(x + 14) (x - 7)^{2} : 1372

Maximum (- 7, 1372)

Stecke

x = 7

in

(x + 14) (x - 7)^{2} : 0

Minimum (7, 0)

Maximum (- 7, 1372), Minimum (7, 0)

Graph

Beliebte Beispiele

extreme f(x)=x^3+2xy^2-5x-4y+20

e x t re m e f (x) = x^{3} + 2 x y^{2} - 5 x - 4 y + 20

extreme f(t)=5e^{at}

e x t re m e f (t) = 5 e^{a t}

extreme f(x)=Ix-4I

e x t re m e f (x) = I x - 4 I

extreme f(x)=x((1/3)x-2)^3+10

e x t re m e f (x) = x ((\frac{1}{3}) x - 2)^{3} + 10

extreme f(x)= x/(x^2-x+25),0<= x<= 27

e x t re m e f (x) = \frac{x}{x ^{2} - x + 25}, 0 \leq x \leq 27