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Beliebt Funktionen >

extreme f(x)=3x^4-8x^3+10

Lösung

extrempunkte

f (x) = 3 x^{4} - 8 x^{3} + 10

Lösung

Sattel (0, 10), Minimum (2, - 6)

Schritte zur Lösung

f^{'} (x) = 12 x^{3} - 24 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

3 x^{4} - 8 x^{3} + 10 : 10

Sattel (0, 10)

Stecke

x = 2

in

3 x^{4} - 8 x^{3} + 10 : - 6

Minimum (2, - 6)

Sattel (0, 10), Minimum (2, - 6)

Graph

Beliebte Beispiele

extreme f(x)=(x-2)^{1/3}

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

extreme f(x)=-x^3+x^2-9x+8,-1<= x<= 5

e x t re m e f (x) = - x^{3} + x^{2} - 9 x + 8, - 1 \leq x \leq 5

extreme f(x)=2e^{x^2-2x+1}

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

extreme f(x,y)=6x^2+2y^2

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

extreme f(x)=(2x-5)/x

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