monotone 1/(x^2-1)

解答

单调区间

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

递增 : - \infty < x < - 1, 递增 : - 1 < x < 0, 递减 : 0 < x < 1, 递减 : 1 < x < \infty

求解步骤

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

Find intervals:

递增

: - \infty < x < - 1,

递增

: - 1 < x < 0,

递减

: 0 < x < 1,

递减

: 1 < x < \infty

递增 : - \infty < x < - 1, 递增 : - 1 < x < 0, 递减 : 0 < x < 1, 递减 : 1 < x < \infty

a sy m pt o t es f (x) = \frac{( x + 1 )}{( x - 2 )}

e x t re m e f (x) = \frac{- 10}{x ^{2}}

cr i t i c a l f (x) = - 2 x^{2} + 8 x

p er i o d i c i t y f (x) = 5 cos (\frac{6 πn}{35})

d o main (3 x^{2} + 1) - (x + 4)