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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 05:21:40 -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
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