Numerical real solution of derivative
I would like to know where a function attains its maximum, so I'm trying to solve some
where y depends on y. I have difficulties with Sage returning equations, complex roots, converting equations, find_maximum_on_interval command etc, and instead of spending another hour trying to figure it out myself, I thought I would try asking here...
Here is a more concrete example:
f = log(2.02 * x + 1) / 2 + log( -2 * x + 1) / 2
find_local_maximum(diff(f,x), 0, 1)
What is mysterious for me, is that the above works if instead I have
f = log(1.01 * x + 1) / 2 + log( -x + 1) / 2