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Beliebt Funktionen >

extreme f(x)=5x+2x^{-1}

Lösung

extrempunkte

f (x) = 5 x + 2 x^{- 1}

Lösung

Maximum (- \frac{2}{5}, - 210), Minimum (\frac{2}{5}, 210)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{2}{5},

Absteigend

: - \frac{2}{5} < x < 0,

Absteigend

: 0 < x < \frac{2}{5},

Ansteigend

: \frac{2}{5} < x < \infty

Stecke

x = - \frac{2}{5}

in

5 x + 2 x^{- 1} : - 210

Maximum (- \frac{2}{5}, - 210)

Stecke

x = \frac{2}{5}

in

5 x + 2 x^{- 1} : 210

Minimum (\frac{2}{5}, 210)

Maximum (- \frac{2}{5}, - 210), Minimum (\frac{2}{5}, 210)

Graph

Beliebte Beispiele

extreme f(x)= 1/(x^2-9)

e x t re m e f (x) = \frac{1}{x ^{2} - 9}

extreme f(x)= 1/(x^2+y^2+1)

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

extreme f(x)= 1/2 x^4-2x^3-54x^2+15

e x t re m e f (x) = \frac{1}{2} x^{4} - 2 x^{3} - 54 x^{2} + 15

extreme f(x)=ln(8+8x^3)

e x t re m e f (x) = ln (8 + 8 x^{3})

extreme f(x)=sin(x)+x

e x t re m e f (x) = sin (x) + x