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

Lösung

extrempunkte

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

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

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 11,

Absteigend

: - 11 < x < - 6,

Absteigend

: - 6 < x < - 1,

Ansteigend

: - 1 < x < \infty

Stecke

x = - 11

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

Maximum (- 11, - 22)

Stecke

x = - 1

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

Minimum (- 1, - 2)

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

e x t re m e f (x, y) = x^{3} - 12 x - 3 y + y^{3}

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

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

e x t re m e \frac{1}{3} (x - 2.1)^{2} + 7.9

e x t re m e f (x, y) = 120 x + 120 y - x y - x^{2} - y^{2}