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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (- 2, 3), Minimum (0, - 1)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Absteigend

: - 2 < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - 2

in

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

Maximum (- 2, 3)

Stecke

x = 0

in

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

Minimum (0, - 1)

Maximum (- 2, 3), Minimum (0, - 1)

Graph

Beliebte Beispiele

extreme f(x)=y+4x-5

e x t re m e f (x) = y + 4 x - 5

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e x t re m e f (x, y) = \frac{x ^{2} - y ^{2}}{9 - 2 x ^{2} - y ^{2}}

extreme 8x^2+3ln(x+1)

e x t re m e 8 x^{2} + 3 ln (x + 1)

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e x t re m e f (x) = x^{3} - 5 x^{2} + 3 x + 13