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Beliebt Funktionen >

extreme 1+7/x-3/(x^2)

Lösung

extrempunkte

1 + \frac{7}{x} - \frac{3}{x ^{2}}

Lösung

Maximum (\frac{6}{7}, \frac{61}{12})

Schritte zur Lösung

f^{'} (x) = \frac{6}{x ^{3}} - \frac{7}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{6}{7},

Absteigend

: \frac{6}{7} < x < \infty

Stecke

x = \frac{6}{7}

in

1 + \frac{7}{x} - \frac{3}{x ^{2}} : \frac{61}{12}

Maximum (\frac{6}{7}, \frac{61}{12})

Graph

Beliebte Beispiele

extreme f(x)= x/(x^2+1),-2<= x<= 2

e x t re m e f (x) = \frac{x}{x ^{2} + 1}, - 2 \leq x \leq 2

extreme f(x)=5+54x+2x^3,0<= x<= 4

e x t re m e f (x) = 5 + 54 x + 2 x^{3}, 0 \leq x \leq 4

extreme f(x,y)=x^2+y^2-1

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

extreme f(x)=2x^3-12x^2+18x-5

e x t re m e f (x) = 2 x^{3} - 12 x^{2} + 18 x - 5

extreme x^2+4xy+y^2

e x t re m e x^{2} + 4 x y + y^{2}