extreme f(x)=x^3-588x

Lösung

extrempunkte

f (x) = x^{3} - 588 x

Maximum (- 14, 5488), Minimum (14, - 5488)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 588

Intervalle finden:

Ansteigend

: - \infty < x < - 14,

Absteigend

: - 14 < x < 14,

Ansteigend

: 14 < x < \infty

Stecke

x = - 14

x^{3} - 588 x : 5488

Maximum (- 14, 5488)

Stecke

x = 14

x^{3} - 588 x : - 5488

Minimum (14, - 5488)

Maximum (- 14, 5488), Minimum (14, - 5488)

e x t re m e f (x) = 23 n - 166 n^{2}

e x t re m e f (x) = \frac{- 2}{3} x^{3} + 9 x^{2} - 28 x + 1

e x t re m e y = \frac{1}{x ^{2} - 1}

e x t re m e f (x, y) = (x^{2} - 25)^{2} + (y^{2} - 9)^{2}

e x t re m e f (x) = 4 cos (2 x) + 1, (0, 2 π)