how to show for what values the function is increasing/decreasing

*To*: mathgroup at smc.vnet.net*Subject*: [mg104069] how to show for what values the function is increasing/decreasing*From*: JEZUS <barefoot1980 at gmail.com>*Date*: Sun, 18 Oct 2009 05:25:51 -0400 (EDT)

how to show that for what values of m, the function f(x) = m * log(x) / 2^m + (1-x^m) / (1+x)^m is increasing/decreasing. That for what values of m, df/dx > 0 for all x>=1, .... here, x >= 1 it looks like the (i am not sure): df/dx > 0 for 0 < m <=3 df/dx < 0 for m < 0 df/dx < 0 for m > 0