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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = \frac{1}{x ( x - 3 ) ^{2}}

Lösung

Minimum (1, \frac{1}{4})

Schritte zur Lösung

f^{'} (x) = - \frac{3 ( x - 1 )}{x ^{2} ( x - 3 ) ^{3}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = 1

in

\frac{1}{x ( x - 3 ) ^{2}} : \frac{1}{4}

Minimum (1, \frac{1}{4})

Graph

Beliebte Beispiele

extreme (4x)/(x^2+1)

e x t re m e \frac{4 x}{x ^{2} + 1}

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e x t re m e f (x, y) = x y + \frac{4}{x} + \frac{2}{y}

extreme f(x)= 2/(x^2+3)

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extreme f(x)=x^2(x^2-1)

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

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e x t re m e f (x, y) = x^{2} + 2 y^{2} + x y - 5 x - 6 y