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Beliebt Funktionen >

extreme f(x)=-64x^3+12x+9

Lösung

extrempunkte

f (x) = - 64 x^{3} + 12 x + 9

Lösung

Minimum (- \frac{1}{4}, 7), Maximum (\frac{1}{4}, 11)

Schritte zur Lösung

f^{'} (x) = - 192 x^{2} + 12

Intervalle finden:

Absteigend

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

Ansteigend

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

Absteigend

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

Stecke

x = - \frac{1}{4}

in

- 64 x^{3} + 12 x + 9 : 7

Minimum (- \frac{1}{4}, 7)

Stecke

x = \frac{1}{4}

in

- 64 x^{3} + 12 x + 9 : 11

Maximum (\frac{1}{4}, 11)

Minimum (- \frac{1}{4}, 7), Maximum (\frac{1}{4}, 11)

Graph

Beliebte Beispiele

extreme f(x,y)=-3x^2-2y^2+24x+20y+600

e x t re m e f (x, y) = - 3 x^{2} - 2 y^{2} + 24 x + 20 y + 600

extreme f(x)=5(1/(x-4)-1/(x+2))

e x t re m e f (x) = 5 (\frac{1}{x - 4} - \frac{1}{x + 2})

extreme (x^3-4x^2)/(x^2+1)

e x t re m e \frac{x ^{3} - 4 x ^{2}}{x ^{2} + 1}

extreme f(x)=10+5x-x^2

e x t re m e f (x) = 10 + 5 x - x^{2}

extreme f(x)=2x^2nx-19x^2

e x t re m e f (x) = 2 x^{2} n x - 19 x^{2}