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Beliebt Funktionen >

extreme f(x)=2x^3-9x^2+12x+7

Lösung

extrempunkte

f (x) = 2 x^{3} - 9 x^{2} + 12 x + 7

Lösung

Maximum (1, 12), Minimum (2, 11)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 18 x + 12

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 1

in

2 x^{3} - 9 x^{2} + 12 x + 7 : 12

Maximum (1, 12)

Stecke

x = 2

in

2 x^{3} - 9 x^{2} + 12 x + 7 : 11

Minimum (2, 11)

Maximum (1, 12), Minimum (2, 11)

Graph

Beliebte Beispiele

extreme f(x)=2x^3-9x^2+12x+1

e x t re m e f (x) = 2 x^{3} - 9 x^{2} + 12 x + 1

extreme f(x,y)=xy-x^2-y^2+x+y+17

e x t re m e f (x, y) = x y - x^{2} - y^{2} + x + y + 17

extreme f(x)=50y^2+x^2-x^2y

e x t re m e f (x) = 50 y^{2} + x^{2} - x^{2} y

extreme (x^2-7)/(x+4)

e x t re m e \frac{x ^{2} - 7}{x + 4}

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

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