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Beliebt Funktionen >

extreme f(x)=-3x^2+42x-141

Lösung

extrempunkte

f (x) = - 3 x^{2} + 42 x - 141

Lösung

Maximum (7, 6)

Schritte zur Lösung

f^{'} (x) = - 6 x + 42

Intervalle finden:

Ansteigend

: - \infty < x < 7,

Absteigend

: 7 < x < \infty

Stecke

x = 7

in

- 3 x^{2} + 42 x - 141 : 6

Maximum (7, 6)

Graph

Beliebte Beispiele

extreme f(x)=x^2+9x-2

e x t re m e f (x) = x^{2} + 9 x - 2

extreme f(x)=x^4-4x=x^2(x^2-4)

e x t re m e f (x) = x^{4} - 4 x = x^{2} (x^{2} - 4)

extreme f(x)=x^{2/3}*(4-x^2)

e x t re m e f (x) = x^{\frac{2}{3}} \cdot (4 - x^{2})

extreme 3x^2+2y^2-4y

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

extreme f(x)=102t+0.5t^2-t^3

e x t re m e f (x) = 102 t + 0.5 t^{2} - t^{3}