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Beliebt Funktionen >

extreme f(x,y)=(x^3+9)/(x^2)

Lösung

extrempunkte

f (x, y) = \frac{x ^{3} + 9}{x ^{2}}

Lösung

Minimum (318, \frac{27}{1 8 ^{\frac{2}{3}}})

Schritte zur Lösung

f^{'} (x) = \frac{x ^{3} - 18}{x ^{3}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 318,

Ansteigend

: 318 < x < \infty

Stecke

x = 318

in

\frac{x ^{3} + 9}{x ^{2}} : \frac{27}{1 8 ^{\frac{2}{3}}}

Minimum (318, \frac{27}{1 8 ^{\frac{2}{3}}})

Graph

Beliebte Beispiele

extreme f(x)=x^2+10xy+y^2

e x t re m e f (x) = x^{2} + 10 x y + y^{2}

extreme f(x)=14+4x-x^2

e x t re m e f (x) = 14 + 4 x - x^{2}

extreme f(x,y)=x^3+xy^2+y^2-4y+11

e x t re m e f (x, y) = x^{3} + x y^{2} + y^{2} - 4 y + 11

extreme 8+2x-2x^2

e x t re m e 8 + 2 x - 2 x^{2}

extreme f(x,y)=10x^2+7xy+8y^2+8xy^2+9x^2y

e x t re m e f (x, y) = 10 x^{2} + 7 x y + 8 y^{2} + 8 x y^{2} + 9 x^{2} y