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Beliebt Funktionen >

extreme f(x)=x^3-9x^2+15x-4

Lösung

extrempunkte

f (x) = x^{3} - 9 x^{2} + 15 x - 4

Lösung

Maximum (1, 3), Minimum (5, - 29)

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 - 4 : 3

Maximum (1, 3)

Stecke

x = 5

in

x^{3} - 9 x^{2} + 15 x - 4 : - 29

Minimum (5, - 29)

Maximum (1, 3), Minimum (5, - 29)

Graph

Beliebte Beispiele

extreme P(x,y)=3x^2y+4xy^2-y^{-4}

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

extreme f(x)=(x+10)((60)/x+6)

e x t re m e f (x) = (x + 10) (\frac{60}{x} + 6)

extreme f(x)= 1/2 x^4-4x^2+5

e x t re m e f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 5

extreme f(x)= 1/2 x^4-4x^2+3

e x t re m e f (x) = \frac{1}{2} x^{4} - 4 x^{2} + 3

extreme f(x)=-3x^2+180x+190,0<= x<= 40

e x t re m e f (x) = - 3 x^{2} + 180 x + 190, 0 \leq x \leq 40