Thanks for the reply micromass!
So now I write out the mvt as
((acos(a)-sin(a))-(bcos(b)-sin(b)))/a-b = -csin(c) and state that
since sin(c)>0 for c in [0,pi] and c>0 so -c<0. Also we've set a>b so a-b is positive, leaving
(acos(a)-sin(a))-(bcos(b)-sin(b)) = (b-a)csin(c) < 0
so g(x)...
Homework Statement
let g be a function mapping x to xcosx-sinx.
use the mean value theorem to prove that g(x) < 0 for x in (0,pi]Homework Equations
well the function is both continuous and differentiable on the interval so that's a start...
The Attempt at a Solution
basically i thought i'd...