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Beliebt Funktionen >

extreme f(x)=3t+1/t

Lösung

extrempunkte

f (x) = 3 t + \frac{1}{t}

Lösung

Maximum (- \frac{1}{3}, - 23), Minimum (\frac{1}{3}, 23)

Schritte zur Lösung

f^{'} (t) = 3 - \frac{1}{t ^{2}}

Intervalle finden:

Ansteigend

: - \infty < t < - \frac{1}{3},

Absteigend

: - \frac{1}{3} < t < 0,

Absteigend

: 0 < t < \frac{1}{3},

Ansteigend

: \frac{1}{3} < t < \infty

Stecke

t = - \frac{1}{3}

in

3 t + \frac{1}{t} : - 23

Maximum (- \frac{1}{3}, - 23)

Stecke

t = \frac{1}{3}

in

3 t + \frac{1}{t} : 23

Minimum (\frac{1}{3}, 23)

Maximum (- \frac{1}{3}, - 23), Minimum (\frac{1}{3}, 23)

Graph

Beliebte Beispiele

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

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

extreme f(x)=x^2+5x-77

e x t re m e f (x) = x^{2} + 5 x - 77

extreme f(x)=x^5-5x^4+5x^3-10

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