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Beliebt Funktionen >

extreme f(x)=3x^3-6x^2-5x+1

Lösung

extrempunkte

f (x) = 3 x^{3} - 6 x^{2} - 5 x + 1

Lösung

Maximum (- \frac{1}{3}, \frac{17}{9}), Minimum (\frac{5}{3}, - \frac{91}{9})

Schritte zur Lösung

f^{'} (x) = 9 x^{2} - 12 x - 5

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{3},

Absteigend

: - \frac{1}{3} < x < \frac{5}{3},

Ansteigend

: \frac{5}{3} < x < \infty

Stecke

x = - \frac{1}{3}

in

3 x^{3} - 6 x^{2} - 5 x + 1 : \frac{17}{9}

Maximum (- \frac{1}{3}, \frac{17}{9})

Stecke

x = \frac{5}{3}

in

3 x^{3} - 6 x^{2} - 5 x + 1 : - \frac{91}{9}

Minimum (\frac{5}{3}, - \frac{91}{9})

Maximum (- \frac{1}{3}, \frac{17}{9}), Minimum (\frac{5}{3}, - \frac{91}{9})

Graph

Beliebte Beispiele

extreme f(x,y)=8x^3-24xy+y^3

e x t re m e f (x, y) = 8 x^{3} - 24 x y + y^{3}

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

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

extreme f(x)=x^3-12x^2+45x+8

e x t re m e f (x) = x^{3} - 12 x^{2} + 45 x + 8

extreme z(b,v)=b^{2v}

e x t re m e z (b, v) = b^{2 v}

extreme f(x)=9x^2-4

e x t re m e f (x) = 9 x^{2} - 4