extreme 1-2/(x^2+1)

Lösung

extrempunkte

1 - \frac{2}{x ^{2} + 1}

Minimum (0, - 1)

Schritte zur Lösung

f^{'} (x) = \frac{4 x}{( x ^{2} + 1 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = 0

1 - \frac{2}{x ^{2} + 1} : - 1

Minimum (0, - 1)

e x t re m e f (x) = 4 x^{5} + 10 x^{4} - 100 x^{3} + 1

e x t re m e 5 x (2 x + 4) - 3 x

e x t re m e f (x) = 5 (10 - x) + 3 (16 + x^{2})

e x t re m e f (x) = (x - 3) (x + 1) (x + 4)

e x t re m e f (x) = 3 x^{2} - 4 y^{3} - 6 x + 48 y - 1