extreme y=x+9/x-4

Lösung

extrempunkte

y = x + \frac{9}{x} - 4

Maximum (- 3, - 10), Minimum (3, 2)

Schritte zur Lösung

f^{'} (x) = - \frac{9}{x ^{2}} + 1

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 3

x + \frac{9}{x} - 4 : - 10

Maximum (- 3, - 10)

Stecke

x = 3

x + \frac{9}{x} - 4 : 2

Minimum (3, 2)

Maximum (- 3, - 10), Minimum (3, 2)

e x t re m e y = 1990 + 550 ln (x)

e x t re m e f (x) = ((\frac{15}{4}) x) + (5 x^{3}) - (90 x^{2}) + 15

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

e x t re m e A (3, - 5) B (1, - 2)

e x t re m e f (x) = 518 x - 3 x^{2} - 100 - 50 x