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Beliebt Funktionen >

extreme f(x)=-2x^3+6x-1

Lösung

extrempunkte

f (x) = - 2 x^{3} + 6 x - 1

Lösung

Minimum (- 1, - 5), Maximum (1, 3)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - 1

in

- 2 x^{3} + 6 x - 1 : - 5

Minimum (- 1, - 5)

Stecke

x = 1

in

- 2 x^{3} + 6 x - 1 : 3

Maximum (1, 3)

Minimum (- 1, - 5), Maximum (1, 3)

Graph

Beliebte Beispiele

extreme f(x)=-3x^6ln(2x)

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

extreme f(x)=x(x+4)

e x t re m e f (x) = x (x + 4)

extreme f(x)=(x^2-1)^3,-1<= x<= 3

e x t re m e f (x) = (x^{2} - 1)^{3}, - 1 \leq x \leq 3

extreme g(t)=e^{at}

e x t re m e g (t) = e^{a t}

extreme f(x)=(8x)/(x^2+4)

e x t re m e f (x) = \frac{8 x}{x ^{2} + 4}