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Beliebt Funktionen >

extreme f(x)=2x^3-3x^2+7

Lösung

extrempunkte

f (x) = 2 x^{3} - 3 x^{2} + 7

Lösung

Maximum (0, 7), Minimum (1, 6)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 6 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

2 x^{3} - 3 x^{2} + 7 : 7

Maximum (0, 7)

Stecke

x = 1

in

2 x^{3} - 3 x^{2} + 7 : 6

Minimum (1, 6)

Maximum (0, 7), Minimum (1, 6)

Graph

Beliebte Beispiele

extreme f(x)=x^3-3

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

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

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

extreme-log_{5}(x)

e x t re m e - lo g_{5} (x)

extreme f(x,y)=x^3-2xy+y^2+4

e x t re m e f (x, y) = x^{3} - 2 x y + y^{2} + 4

extreme f(x,y)=(x-y)(25-xy)

e x t re m e f (x, y) = (x - y) (25 - x y)