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Beliebt Funktionen >

extreme 2x^3-3x^2-12x+13

Lösung

extrempunkte

2 x^{3} - 3 x^{2} - 12 x + 13

Lösung

Maximum (- 1, 20), Minimum (2, - 7)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 1

in

2 x^{3} - 3 x^{2} - 12 x + 13 : 20

Maximum (- 1, 20)

Stecke

x = 2

in

2 x^{3} - 3 x^{2} - 12 x + 13 : - 7

Minimum (2, - 7)

Maximum (- 1, 20), Minimum (2, - 7)

Graph

Beliebte Beispiele

extreme y=-11sin(22x+33)+44

e x t re m e y = - 11 sin (22 x + 33) + 44

extreme f(x)=(2(x+6)^2)/(x+8)

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

extreme (5x-15)/(2x-9)

e x t re m e \frac{5 x - 15}{2 x - 9}

extreme f(x)=x^3-12x^2+36x-3,0<= x<= 9

e x t re m e f (x) = x^{3} - 12 x^{2} + 36 x - 3, 0 \leq x \leq 9

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

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