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Beliebt Funktionen >

extreme f(x)=(x^2+1)^{2/3}

Lösung

extrempunkte

f (x) = (x^{2} + 1)^{\frac{2}{3}}

Lösung

Minimum (0, 1)

Schritte zur Lösung

f^{'} (x) = \frac{4 x}{3 ( x ^{2} + 1 ) ^{\frac{1}{3}}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = 0

in

(x^{2} + 1)^{\frac{2}{3}} : 1

Minimum (0, 1)

Graph

Beliebte Beispiele

extreme f(x)=2x^4-7x^3+4x^2+2x+3

e x t re m e f (x) = 2 x^{4} - 7 x^{3} + 4 x^{2} + 2 x + 3

extreme 4x^3-3x^2-36x+17

e x t re m e 4 x^{3} - 3 x^{2} - 36 x + 17

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

e x t re m e f (x) = \frac{ln ( x )}{x ^{\frac{5}{2}}}

extreme f(x)= 1/(x^3)

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

extreme f(x)=-x^3+x^2+8x+9

e x t re m e f (x) = - x^{3} + x^{2} + 8 x + 9