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Beliebt Funktionen >

extreme y=x^3-3x+7

Lösung

extrempunkte

y = x^{3} - 3 x + 7

Lösung

Maximum (- 1, 9), Minimum (1, 5)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = - 1

in

x^{3} - 3 x + 7 : 9

Maximum (- 1, 9)

Stecke

x = 1

in

x^{3} - 3 x + 7 : 5

Minimum (1, 5)

Maximum (- 1, 9), Minimum (1, 5)

Graph

Beliebte Beispiele

extreme x^4-x^3-6x^2

e x t re m e x^{4} - x^{3} - 6 x^{2}

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

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

extreme f(x)=(2x^{5/2})/5-(2x^{3/2})/3-6

e x t re m e f (x) = \frac{2 x ^{\frac{5}{2}}}{5} - \frac{2 x ^{\frac{3}{2}}}{3} - 6

extreme f(x)=(2x^{5/2})/5-(2x^{3/2})/3-3

e x t re m e f (x) = \frac{2 x ^{\frac{5}{2}}}{5} - \frac{2 x ^{\frac{3}{2}}}{3} - 3

extreme f(x)=16x+9/x

e x t re m e f (x) = 16 x + \frac{9}{x}