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Beliebt Funktionen >

extreme f(x)=x^3-9x^2+15x+3

Lösung

extrempunkte

f (x) = x^{3} - 9 x^{2} + 15 x + 3

Lösung

Maximum (1, 10), Minimum (5, - 22)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 18 x + 15

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = 1

in

x^{3} - 9 x^{2} + 15 x + 3 : 10

Maximum (1, 10)

Stecke

x = 5

in

x^{3} - 9 x^{2} + 15 x + 3 : - 22

Minimum (5, - 22)

Maximum (1, 10), Minimum (5, - 22)

Graph

Beliebte Beispiele

extreme f(x,y)=2x^3-y^2-6xy+23

e x t re m e f (x, y) = 2 x^{3} - y^{2} - 6 x y + 23

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

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

extreme f(x)=2x^3+3x^2-12x-18

e x t re m e f (x) = 2 x^{3} + 3 x^{2} - 12 x - 18

extreme f(x)=4x^3e^{-x}

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

extreme f(x)=x^3+y^3-36xy

e x t re m e f (x) = x^{3} + y^{3} - 36 x y