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Beliebt Funktionen >

extreme f(x)=-10x^2+1620x-40000

Lösung

extrempunkte

f (x) = - 10 x^{2} + 1620 x - 40000

Lösung

Maximum (81, 25610)

Schritte zur Lösung

f^{'} (x) = - 20 x + 1620

Intervalle finden:

Ansteigend

: - \infty < x < 81,

Absteigend

: 81 < x < \infty

Stecke

x = 81

in

- 10 x^{2} + 1620 x - 40000 : 25610

Maximum (81, 25610)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+y^3-6xy+27

e x t re m e f (x, y) = x^{3} + y^{3} - 6 x y + 27

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

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

extreme f(x)=6x^2-8x+2

e x t re m e f (x) = 6 x^{2} - 8 x + 2

extreme f(x)=|2x+1|

e x t re m e f (x) = ∣ 2 x + 1 ∣

extreme f(x,y)=e^{2x}(x+y^2+2y)+10

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