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Beliebt Funktionen >

extreme f(x)=x^3+12x^2-27x+8[-10]

Lösung

extrempunkte

f (x) = x^{3} + 12 x^{2} - 27 x + 8 [- 10]

Lösung

Maximum (- 9, 406), Minimum (1, - 94)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} + 24 x - 27

Intervalle finden:

Ansteigend

: - \infty < x < - 9,

Absteigend

: - 9 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = - 9

in

x^{3} + 12 x^{2} - 27 x + 8 [- 10] : 406

Maximum (- 9, 406)

Stecke

x = 1

in

x^{3} + 12 x^{2} - 27 x + 8 [- 10] : - 94

Minimum (1, - 94)

Maximum (- 9, 406), Minimum (1, - 94)

Graph

Beliebte Beispiele

extreme f(x)=3xe^{-x}

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

extreme f(x)=x^2+x^2y+y^2+1

e x t re m e f (x) = x^{2} + x^{2} y + y^{2} + 1

extreme f(x)=8x-9x^{(8/9)}

e x t re m e f (x) = 8 x - 9 x^{(\frac{8}{9})}

extreme f(x)=-3x^3-10

e x t re m e f (x) = - 3 x^{3} - 10

extreme f(x,y)=72y^2+x^2-x^2y

e x t re m e f (x, y) = 72 y^{2} + x^{2} - x^{2} y