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Beliebt Funktionen >

extreme f(x)=5+(8+5x)^{2/5}

Lösung

extrempunkte

f (x) = 5 + (8 + 5 x)^{\frac{2}{5}}

Lösung

Minimum (- \frac{8}{5}, 5)

Schritte zur Lösung

f^{'} (x) = \frac{2}{( 5 x + 8 ) ^{\frac{3}{5}}}

Intervalle finden:

Absteigend

: - \infty < x < - \frac{8}{5},

Ansteigend

: - \frac{8}{5} < x < \infty

Stecke

x = - \frac{8}{5}

in

5 + (8 + 5 x)^{\frac{2}{5}} : 5

Minimum (- \frac{8}{5}, 5)

Graph

Beliebte Beispiele

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

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

extreme f(x)=xe-4x^2

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

extreme e^x+(1-x)/(e^x)

e x t re m e e^{x} + \frac{1 - x}{e ^{x}}

extreme y=f(x)=x(x-1)^5

e x t re m e y = f (x) = x (x - 1)^{5}

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

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