extreme f(x)=xsqrt(9-x)

Lösung

extrempunkte

f (x) = x 9 - x

Maximum (6, 63), Minimum (9, 0)

Schritte zur Lösung

f^{'} (x) = - \frac{3 ( x - 6 )}{2 9 - x}

Intervalle finden:

Ansteigend

: - \infty < x < 6,

Absteigend

: 6 < x < 9

Stecke

x = 6

x 9 - x : 63

Maximum (6, 63)

Stecke

x = 9

x 9 - x : 0

Minimum (9, 0)

Maximum (6, 63), Minimum (9, 0)

e x t re m e f (x) = \frac{x}{x ^{2} - x + 16}

e x t re m e f (x) = \frac{x ^{3}}{3} - 5 x^{2} + 16 x - 100

e x t re m e f (x) = x^{3} + 10 x^{2} + 8

e x t re m e f (x, y) = - 6 x^{2} + 5 x y - y^{2} + x + y

e x t re m e f (x, y) = 3 x^{2} y - y^{2} + 5 x y^{2}