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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = 5 (\frac{1}{x - 4} - \frac{1}{x + 2})

Lösung

Maximum (1, - \frac{10}{3})

Schritte zur Lösung

f^{'} (x) = \frac{5 ( - 12 x + 12 )}{( x - 4 ) ^{2} ( x + 2 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 1,

Absteigend

: 1 < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = 1

in

5 (\frac{1}{x - 4} - \frac{1}{x + 2}) : - \frac{10}{3}

Maximum (1, - \frac{10}{3})

Graph

Beliebte Beispiele

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

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

extreme f(x)=10+5x-x^2

e x t re m e f (x) = 10 + 5 x - x^{2}

extreme f(x)=2x^2nx-19x^2

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extreme f(x,y,z)=-x^2-3y^2+4x-6y-5

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

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