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Beliebt Funktionen >

extreme f(x)=2x^3+3x^2-12x+7

Lösung

extrempunkte

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 7

Lösung

Maximum (- 2, 27), Minimum (1, 0)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} + 6 x - 12

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Absteigend

: - 2 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = - 2

in

2 x^{3} + 3 x^{2} - 12 x + 7 : 27

Maximum (- 2, 27)

Stecke

x = 1

in

2 x^{3} + 3 x^{2} - 12 x + 7 : 0

Minimum (1, 0)

Maximum (- 2, 27), Minimum (1, 0)

Graph

Beliebte Beispiele

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

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

extreme f(x)=cos(x)-3x

e x t re m e f (x) = cos (x) - 3 x

extreme f(x)=3x^2-24ln(x)

e x t re m e f (x) = 3 x^{2} - 24 ln (x)

extreme f(x)=7+4x^2-x^4

e x t re m e f (x) = 7 + 4 x^{2} - x^{4}

extreme f(x)= x/(x^2-x+16),0<= x<= 12

e x t re m e f (x) = \frac{x}{x ^{2} - x + 16}, 0 \leq x \leq 12