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Beliebt Funktionen >

extreme x^{1/5}(x+6)

Lösung

extrempunkte

x^{\frac{1}{5}} (x + 6)

Lösung

Minimum (- 1, - 5)

Schritte zur Lösung

f^{'} (x) = \frac{6 ( x + 1 )}{5 x ^{\frac{4}{5}}}

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Ansteigend

: - 1 < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - 1

in

x^{\frac{1}{5}} (x + 6) : - 5

Minimum (- 1, - 5)

Graph

Beliebte Beispiele

extreme f(x)=x^2e^{4x}

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

extreme f(x)=(x+1)^5-5x-2

e x t re m e f (x) = (x + 1)^{5} - 5 x - 2

extreme f(x)=(-5x^2+16x)/(2sqrt(4-x))

e x t re m e f (x) = \frac{- 5 x ^{2} + 16 x}{2 4 - x}

extreme f(x)=x^3-3x^2-3x-1

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

extreme f(x)=4x^2-8x+3

e x t re m e f (x) = 4 x^{2} - 8 x + 3