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Beliebt Funktionen >

extreme f(x)=(x^2-2x-8)^{1/3}

Lösung

extrempunkte

f (x) = (x^{2} - 2 x - 8)^{\frac{1}{3}}

Lösung

Minimum (1, - 9^{\frac{1}{3}})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Absteigend

: - 2 < x < 1,

Ansteigend

: 1 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 1

in

(x^{2} - 2 x - 8)^{\frac{1}{3}} : - 9^{\frac{1}{3}}

Minimum (1, - 9^{\frac{1}{3}})

Graph

Beliebte Beispiele

extreme f(x)=x^2-10x-7

e x t re m e f (x) = x^{2} - 10 x - 7

extreme f(x)=(4x)^x,0.05<= x<= 1

e x t re m e f (x) = (4 x)^{x}, 0.05 \leq x \leq 1

extreme f(x)=ln(x^2+5x+9)

e x t re m e f (x) = ln (x^{2} + 5 x + 9)

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

e x t re m e f (x) = x^{\frac{1}{2}} - x^{\frac{3}{2}}

extreme f(χ)=χ^2e^{-4χ^2}

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