Question: Looking for a fast computer to solve a polynomial

July 10 2014 LijiH 90
Maple

1

The answer should be around 15.7, i.e., function h is maximized at around x=15.7, I don't know why my computer/maple is having a hard time with it.

f := proc (a, b, k) options operator, arrow; (sum(exp(-x)*x^m/(m!), m = a .. b))^k end proc;


h := f(0,0,82)*f(1,3,49)*f(4,6,47)*f(7,10,47)*f(11,15,57)*f(16,20,40)*f(21,25,38)*f(26,35,52)*(1-f(0,35,1))^91;


fsolve(diff(h,x),x);

 

thanks in advance!

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