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Show that f(x) = 2x + sin(x) + cos(x) increases for all x belongs to R !
Please help !
d/(f(x)/dt=2+cosx-sinx,minimum of d(f(x))/dt is greater than zero for all real x because cosx-sinx is such that (cosx,sinx)=(-1,1) is impossible and -1=<(cosx,sinx)=<1
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