extreme f(x)=-x^3-9x^2+165x+1300

Lösung

extrempunkte

f (x) = - x^{3} - 9 x^{2} + 165 x + 1300

Minimum (- 11, - 273), Maximum (5, 1775)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} - 18 x + 165

Intervalle finden:

Absteigend

: - \infty < x < - 11,

Ansteigend

: - 11 < x < 5,

Absteigend

: 5 < x < \infty

Stecke

x = - 11

- x^{3} - 9 x^{2} + 165 x + 1300 : - 273

Minimum (- 11, - 273)

Stecke

x = 5

- x^{3} - 9 x^{2} + 165 x + 1300 : 1775

Maximum (5, 1775)

Minimum (- 11, - 273), Maximum (5, 1775)

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

e x t re m e \frac{2}{3} x^{3} - 4 x^{3} + 12

e x t re m e f (x) = \frac{4860}{x} + 15 x + 700508

e x t re m e 2 sec (t) + tan (t)

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