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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (\frac{1}{3}, - \frac{1}{8})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < \frac{1}{3},

Ansteigend

: \frac{1}{3} < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = \frac{1}{3}

in

\frac{x ^{2} - 1}{( x - 3 ) ^{2}} : - \frac{1}{8}

Minimum (\frac{1}{3}, - \frac{1}{8})

Graph

Beliebte Beispiele

extreme s(t)=-4.9t^2+29t+2

e x t re m e s (t) = - 4.9 t^{2} + 29 t + 2

extreme y=(x+3)^2-7

e x t re m e y = (x + 3)^{2} - 7

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

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

extreme x^5-x^3

e x t re m e x^{5} - x^{3}

extreme f(x)=6sin(2x)

e x t re m e f (x) = 6 sin (2 x)