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Beliebt Funktionen >

extreme f(x)=x^4+x^3-3x^2-5x-2

Lösung

extrempunkte

f (x) = x^{4} + x^{3} - 3 x^{2} - 5 x - 2

Lösung

Sattel (- 1, 0), Minimum (\frac{5}{4}, - \frac{2187}{256})

Schritte zur Lösung

f^{'} (x) = 4 x^{3} + 3 x^{2} - 6 x - 5

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < \frac{5}{4},

Ansteigend

: \frac{5}{4} < x < \infty

Stecke

x = - 1

in

x^{4} + x^{3} - 3 x^{2} - 5 x - 2 : 0

Sattel (- 1, 0)

Stecke

x = \frac{5}{4}

in

x^{4} + x^{3} - 3 x^{2} - 5 x - 2 : - \frac{2187}{256}

Minimum (\frac{5}{4}, - \frac{2187}{256})

Sattel (- 1, 0), Minimum (\frac{5}{4}, - \frac{2187}{256})

Graph

Beliebte Beispiele

extreme f(x)=cos(pix),0<= x<= 1/6

e x t re m e f (x) = cos (π x), 0 \leq x \leq \frac{1}{6}

extreme f(x)=-2x^3+12x

e x t re m e f (x) = - 2 x^{3} + 12 x

extreme f(x,y)=6e^{-2x-2y}

e x t re m e f (x, y) = 6 e^{- 2 x - 2 y}

extreme f(x)=45-3x

e x t re m e f (x) = 45 - 3 x

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

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