extreme-5/(1+x^2)

Lösung

extrempunkte

- \frac{5}{1 + x ^{2}}

Minimum (0, - 5)

Schritte zur Lösung

f^{'} (x) = \frac{10 x}{( 1 + x ^{2} ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = 0

- \frac{5}{1 + x ^{2}} : - 5

Minimum (0, - 5)

e x t re m e f (x) = - \frac{1}{6} x^{3} + \frac{3}{2} x^{2} + \frac{5}{2} x - \frac{11}{6}

e x t re m e f (x) = 3 x - t

e x t re m e f (x) = - 4 x^{\frac{5}{3}} + 7 3 x

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

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