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Beliebt Funktionen >

extreme 1+7/x-5/(x^2)

Lösung

extrempunkte

1 + \frac{7}{x} - \frac{5}{x ^{2}}

Lösung

Maximum (\frac{10}{7}, \frac{69}{20})

Schritte zur Lösung

f^{'} (x) = \frac{10}{x ^{3}} - \frac{7}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{10}{7},

Absteigend

: \frac{10}{7} < x < \infty

Stecke

x = \frac{10}{7}

in

1 + \frac{7}{x} - \frac{5}{x ^{2}} : \frac{69}{20}

Maximum (\frac{10}{7}, \frac{69}{20})

Graph

Beliebte Beispiele

extreme f(x)=4+(4+3x)^{2/3}

e x t re m e f (x) = 4 + (4 + 3 x)^{\frac{2}{3}}

extreme f(x)=6x+6/x

e x t re m e f (x) = 6 x + \frac{6}{x}

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

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

extreme p(x)=12x^4-27x^3+ax^2+27x-6

e x t re m e p (x) = 12 x^{4} - 27 x^{3} + a x^{2} + 27 x - 6

extreme f(x,y)=x^3-3x+y^2+6y+8

e x t re m e f (x, y) = x^{3} - 3 x + y^{2} + 6 y + 8