extreme f(x)=x^3-9x^2-21x+6

Lösung

extrempunkte

f (x) = x^{3} - 9 x^{2} - 21 x + 6

Maximum (- 1, 17), Minimum (7, - 239)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 18 x - 21

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 7,

Ansteigend

: 7 < x < \infty

Stecke

x = - 1

x^{3} - 9 x^{2} - 21 x + 6 : 17

Maximum (- 1, 17)

Stecke

x = 7

x^{3} - 9 x^{2} - 21 x + 6 : - 239

Minimum (7, - 239)

Maximum (- 1, 17), Minimum (7, - 239)

e x t re m e f (x, y) = x y + 1 x + 1 y

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

e x t re m e P (x, y) = 30 x^{2} + 2 x y - 4 y^{2} + 47 x - 12 y + 7

e x t re m e f (x) = x y + \frac{50}{x} + \frac{20}{y}

e x t re m e x^{\frac{2}{3}}