extreme (x^2-11)/(x-6)

Lösung

extrempunkte

\frac{x ^{2} - 11}{x - 6}

Maximum (1, 2), Minimum (11, 22)

Schritte zur Lösung

f^{'} (x) = \frac{x ^{2} - 12 x + 11}{( x - 6 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 6,

Absteigend

: 6 < x < 11,

Ansteigend

: 11 < x < \infty

Stecke

x = 1

\frac{x ^{2} - 11}{x - 6} : 2

Maximum (1, 2)

Stecke

x = 11

\frac{x ^{2} - 11}{x - 6} : 22

Minimum (11, 22)

Maximum (1, 2), Minimum (11, 22)

e x t re m e f (x, y) = \frac{2 x y}{( 2 x + 3 y - 4 )}

e x t re m e f (x) = - 2 x + 3 ln (4 x), (1, 5)

e x t re m e f (x) = x^{3} + 3 x^{2} - 9

e x t re m e f (x) = \frac{x ^{2} - 11 x + 67}{x - 9}

e x t re m e f (x) = x ln (9 x)