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magik heepo
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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 separate the interval into smaller sections coinciding with the roots of xcosx and sinx, ie:
i ticked off the interval [pi/2,pi] as xcosx is negative and sinx is still positive so g(x) <0;
currently considering xcosx for x in (0,1) and trying to find a turning point but I'm not seeing anywhere i can actually apply the MVT at the moment... halp!
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