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Beliebt Funktionen >

extreme 2x+(27)/(x^2)

Lösung

extrempunkte

2 x + \frac{27}{x ^{2}}

Lösung

Minimum (3, 9)

Schritte zur Lösung

f^{'} (x) = 2 - \frac{54}{x ^{3}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 3

in

2 x + \frac{27}{x ^{2}} : 9

Minimum (3, 9)

Graph

Beliebte Beispiele

extreme f(x)=5x^2sqrt(1+x)

e x t re m e f (x) = 5 x^{2} 1 + x

extreme f(x)=x^3-3/2 x^2-18x

e x t re m e f (x) = x^{3} - \frac{3}{2} x^{2} - 18 x

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

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

extreme f(x)=3x^2-4x+5

e x t re m e f (x) = 3 x^{2} - 4 x + 5

extreme f(x)=2x-3x^{2/3},-1<= x<= 3

e x t re m e f (x) = 2 x - 3 x^{\frac{2}{3}}, - 1 \leq x \leq 3