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Beliebt Funktionen >

extreme f(x)=8x^3+81x^2-42x-8

Lösung

extrempunkte

f (x) = 8 x^{3} + 81 x^{2} - 42 x - 8

Lösung

Maximum (- 7, 1511), Minimum (\frac{1}{4}, - \frac{213}{16})

Schritte zur Lösung

f^{'} (x) = 24 x^{2} + 162 x - 42

Intervalle finden:

Ansteigend

: - \infty < x < - 7,

Absteigend

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

Ansteigend

: \frac{1}{4} < x < \infty

Stecke

x = - 7

in

8 x^{3} + 81 x^{2} - 42 x - 8 : 1511

Maximum (- 7, 1511)

Stecke

x = \frac{1}{4}

in

8 x^{3} + 81 x^{2} - 42 x - 8 : - \frac{213}{16}

Minimum (\frac{1}{4}, - \frac{213}{16})

Maximum (- 7, 1511), Minimum (\frac{1}{4}, - \frac{213}{16})

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+3xy^2-15x+y^3-15y

e x t re m e f (x, y) = x^{3} + 3 x y^{2} - 15 x + y^{3} - 15 y

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

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

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

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

extreme f(x)=(x-1)e^x

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

extreme (x^2+1)/(x^2-4)

e x t re m e \frac{x ^{2} + 1}{x ^{2} - 4}