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Beliebt Funktionen >

extreme ((-6x+21))/(((x+1)^4))

Lösung

extrempunkte

\frac{( - 6 x + 21 )}{( ( x + 1 ) ^{4} )}

Lösung

Minimum (5, - \frac{1}{144})

Schritte zur Lösung

f^{'} (x) = - \frac{18 ( - x + 5 )}{( x + 1 ) ^{5}}

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = 5

in

\frac{- 6 x + 21}{( x + 1 ) ^{4}} : - \frac{1}{144}

Minimum (5, - \frac{1}{144})

Graph

Beliebte Beispiele

extreme (-5)/(4x-8)

e x t re m e \frac{- 5}{4 x - 8}

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e x t re m e f (x) = f (x) = x^{3} - 4 x^{2} - 3 x + 1

extreme f(x)=x^3+3x^2-189x

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extreme f(x,y)=(x^2-49)^2+(y^2-9)^2

e x t re m e f (x, y) = (x^{2} - 49)^{2} + (y^{2} - 9)^{2}