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Beliebt Funktionen >

extreme f(x)=x-8/(x^2)

Lösung

extrempunkte

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

Lösung

Maximum (- 232, - 232 - \frac{2}{2 ^{\frac{2}{3}}})

Schritte zur Lösung

f^{'} (x) = 1 + \frac{16}{x ^{3}}

Intervalle finden:

Ansteigend

: - \infty < x < - 232,

Absteigend

: - 232 < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - 232

in

x - \frac{8}{x ^{2}} : - 232 - \frac{2}{2 ^{\frac{2}{3}}}

Maximum (- 232, - 232 - \frac{2}{2 ^{\frac{2}{3}}})

Graph

Beliebte Beispiele

extreme f(s)=(4-s^2)/(2sx^2-7s-4)

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

extreme L(x,y)=5x+4y-(8+2x^2+y^2-xy)

e x t re m e L (x, y) = 5 x + 4 y - (8 + 2 x^{2} + y^{2} - x y)

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

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

extreme f(x)=sin(pi*x)

e x t re m e f (x) = sin (π \cdot x)

extreme-3^{x+1.5}+2.94

e x t re m e - 3^{x + 1.5} + 2.94