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Beliebt Funktionen >

extreme f(x)=8x+11x^{8/11}

Lösung

extrempunkte

f (x) = 8 x + 11 x^{\frac{8}{11}}

Lösung

Minimum (- 1, 3), Maximum (0, 0)

Schritte zur Lösung

f^{'} (x) = 8 + \frac{8}{x ^{\frac{3}{11}}}

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < \infty

Stecke

x = - 1

in

8 x + 11 x^{\frac{8}{11}} : 3

Minimum (- 1, 3)

Stecke

x = 0

in

8 x + 11 x^{\frac{8}{11}} : 0

Maximum (0, 0)

Minimum (- 1, 3), Maximum (0, 0)

Graph

Beliebte Beispiele

extreme f(x,y)=x-2yg(x,y)=x^2+y^2=25

e x t re m e f (x, y) = x - 2 y g (x, y) = x^{2} + y^{2} = 25

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

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

extreme y=x^{4/5}(x-1)

e x t re m e y = x^{\frac{4}{5}} (x - 1)

extreme f(x)=((x^2-11))/(x+6)

e x t re m e f (x) = \frac{( x ^{2} - 11 )}{x + 6}

extreme (64)/(x^2+6x-7)

e x t re m e \frac{64}{x ^{2} + 6 x - 7}