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Beliebt Funktionen >

extreme f(x)=8x+2/x

Lösung

extrempunkte

f (x) = 8 x + \frac{2}{x}

Lösung

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Schritte zur Lösung

f^{'} (x) = 8 - \frac{2}{x ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{2},

Absteigend

: - \frac{1}{2} < x < 0,

Absteigend

: 0 < x < \frac{1}{2},

Ansteigend

: \frac{1}{2} < x < \infty

Stecke

x = - \frac{1}{2}

in

8 x + \frac{2}{x} : - 8

Maximum (- \frac{1}{2}, - 8)

Stecke

x = \frac{1}{2}

in

8 x + \frac{2}{x} : 8

Minimum (\frac{1}{2}, 8)

Maximum (- \frac{1}{2}, - 8), Minimum (\frac{1}{2}, 8)

Graph

Beliebte Beispiele

extreme f(x)=x^3-3/2 x^2,-3<= x<= 4

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

extreme f(x)= 2/(x+4)

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

extreme f(x)=sqrt(2x^2-4x+7)

e x t re m e f (x) = 2 x^{2} - 4 x + 7

extreme f(x)=615t-15/5 t^2

e x t re m e f (x) = 615 t - \frac{15}{5} t^{2}

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

e x t re m e f (x) = \frac{2 x ^{2} + 1}{x ^{2} - 4}