extreme f(x)= 8/(x^2+1)

Lösung

extrempunkte

f (x) = \frac{8}{x ^{2} + 1}

Maximum (0, 8)

Schritte zur Lösung

f^{'} (x) = - \frac{16 x}{( x ^{2} + 1 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < \infty

Stecke

x = 0

\frac{8}{x ^{2} + 1} : 8

Maximum (0, 8)

e x t re m e f (2.52, 5.15) = 3 x^{4} y^{2} - 18 x y

e x t re m e f (x) = - 3 x^{4} + 20 x^{3} - 36 x^{2} + 7

e x t re m e y = - 2 + 5 sin (\frac{π}{12} (x - 2))

e x t re m e (x^{2} - 1) (x^{2} - 9)

e x t re m e y = \frac{\frac{25}{32} x ^{3} + 6400}{x}