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Beliebt Funktionen >

extreme (x^2-1)(x^2-9)

Lösung

extrempunkte

(x^{2} - 1) (x^{2} - 9)

Lösung

Minimum (- 5, - 16), Maximum (0, 9), Minimum (5, - 16)

Schritte zur Lösung

f^{'} (x) = 4 x (x + 5) (x - 5)

Intervalle finden:

Absteigend

: - \infty < x < - 5,

Ansteigend

: - 5 < x < 0,

Absteigend

: 0 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = - 5

in

(x^{2} - 1) (x^{2} - 9) : - 16

Minimum (- 5, - 16)

Stecke

x = 0

in

(x^{2} - 1) (x^{2} - 9) : 9

Maximum (0, 9)

Stecke

x = 5

in

(x^{2} - 1) (x^{2} - 9) : - 16

Minimum (5, - 16)

Minimum (- 5, - 16), Maximum (0, 9), Minimum (5, - 16)

Graph

Beliebte Beispiele

extreme y=(25/32 x^3+6400)/x

e x t re m e y = \frac{\frac{25}{32} x ^{3} + 6400}{x}

extreme f(x)=x|x|

e x t re m e f (x) = x ∣ x ∣

extreme E(x)=x^4-8x+3x^2+xm-5-11

e x t re m e E (x) = x^{4} - 8 x + 3 x^{2} + x m - 5 - 11

extreme f(x,y)=y^3+(6x^2)y-6x^2-6y^2+3

e x t re m e f (x, y) = y^{3} + (6 x^{2}) y - 6 x^{2} - 6 y^{2} + 3

e x t re m e x^{5}