extreme f(x)=-2x^3+33x^2-168x+10

Lösung

extrempunkte

f (x) = - 2 x^{3} + 33 x^{2} - 168 x + 10

Minimum (4, - 262), Maximum (7, - 235)

Schritte zur Lösung

f^{'} (x) = - 6 x^{2} + 66 x - 168

Intervalle finden:

Absteigend

: - \infty < x < 4,

Ansteigend

: 4 < x < 7,

Absteigend

: 7 < x < \infty

Stecke

x = 4

- 2 x^{3} + 33 x^{2} - 168 x + 10 : - 262

Minimum (4, - 262)

Stecke

x = 7

- 2 x^{3} + 33 x^{2} - 168 x + 10 : - 235

Maximum (7, - 235)

Minimum (4, - 262), Maximum (7, - 235)

e x t re m e f (x) = 4 x^{3} - 6 x^{2} - 144 x + 1

e x t re m e f (x, y) = \frac{20480}{x} + \frac{20480}{y} + 5 x y

e x t re m e f (x) = 2 x^{3} + 6 x^{2} - 144 x + 2, - 6 \leq x \leq 5

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

e x t re m e f (x) = (9 sin (x) - 9) (2 cos (x) 3)