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Beliebt Funktionen >

extreme f(x)=2+8x-x^2

Lösung

extrempunkte

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

Lösung

Maximum (4, 18)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = 4

in

2 + 8 x - x^{2} : 18

Maximum (4, 18)

Graph

Beliebte Beispiele

extreme f(x,y)=5x^4-x^2+6y^2

e x t re m e f (x, y) = 5 x^{4} - x^{2} + 6 y^{2}

extreme f(x)=8-2x^2

e x t re m e f (x) = 8 - 2 x^{2}

extreme f(x)= 2/(x+7)

e x t re m e f (x) = \frac{2}{x + 7}

extreme f(x,y)=-5x^2-8y^2-2xy+42x+102y

e x t re m e f (x, y) = - 5 x^{2} - 8 y^{2} - 2 x y + 42 x + 102 y

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

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