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Beliebt Funktionen >

extreme (2x^2+5)/(x^2-25)

Lösung

extrempunkte

\frac{2 x ^{2} + 5}{x ^{2} - 25}

Lösung

Maximum (0, - \frac{1}{5})

Schritte zur Lösung

f^{'} (x) = - \frac{110 x}{( x ^{2} - 25 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 5,

Ansteigend

: - 5 < x < 0,

Absteigend

: 0 < x < 5,

Absteigend

: 5 < x < \infty

Stecke

x = 0

in

\frac{2 x ^{2} + 5}{x ^{2} - 25} : - \frac{1}{5}

Maximum (0, - \frac{1}{5})

Graph

Beliebte Beispiele

solvefor y,w=p(y-z)

so l v e f or y, w = p (y - z)

extreme f(x,y)=sqrt(y)+sqrt(25-x^2-y^2)

e x t re m e f (x, y) = y + 25 - x^{2} - y^{2}

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

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

extreme f(x)=e^x(3-x^2)

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

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

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