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Beliebt Funktionen >

extreme h(x)=-6x^3+18x^2+3

Lösung

extrempunkte

h (x) = - 6 x^{3} + 18 x^{2} + 3

Lösung

Minimum (0, 3), Maximum (2, 27)

Schritte zur Lösung

f^{'} (x) = - 18 x^{2} + 36 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

- 6 x^{3} + 18 x^{2} + 3 : 3

Minimum (0, 3)

Stecke

x = 2

in

- 6 x^{3} + 18 x^{2} + 3 : 27

Maximum (2, 27)

Minimum (0, 3), Maximum (2, 27)

Graph

Beliebte Beispiele

extreme F(x)=(2x)/(x^2+16),-8<= x<= 8

e x t re m e F (x) = \frac{2 x}{x ^{2} + 16}, - 8 \leq x \leq 8

extreme-(9/2)^2-7^2+9/2-14+3

e x t re m e - (\frac{9}{2})^{2} - 7^{2} + \frac{9}{2} - 14 + 3

extreme x(sqrt(8-x^2))

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

extreme f(x)=f(x)=-8x^2-144x+6

e x t re m e f (x) = f (x) = - 8 x^{2} - 144 x + 6

extreme f(x)=x^3-3x[0.3]

e x t re m e f (x) = x^{3} - 3 x [0.3]