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

Lösung

monotone intervalle

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

Absteigend : - \infty < x < - 3, Ansteigend : - 3 < x < 0, Absteigend : 0 < x < 3, Ansteigend : 3 < x < \infty

Schritte zur Lösung

f^{'} (x) = - \frac{2 x ( - x ^{2} + 3 )}{( x ^{2} + 1 ) ^{3}}

Intervalle finden:

Absteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Absteigend : - \infty < x < - 3, Ansteigend : - 3 < x < 0, Absteigend : 0 < x < 3, Ansteigend : 3 < x < \infty

d o main f (x) = \frac{x - 5}{x + 1}

sy mm e t ry - 0.1 x^{2} + 0.7 x + 6

in f l ec t i o n f (x) = - 3 x^{4} + 18 x^{2}

d o main f (t) = \frac{56}{( t + 7 ) ^{2}}

d o main \frac{x + 1}{x ^{2} - 4 x - 12}