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it is about "Mean Value Theorem",

* if u and v are any real numbers, then, prove that:

|sin(u)-sin(v)|<=|u-v|

* Prove that [(1+h)^(1/2)] < [1+(h/2)], for h>0

* Suppose that f'(x)=g'(x)+x for every (x) in some interval (I), how different can the function (f) and (g) be

I don't know from where to start and i would like you to know that i'm in exams' days, and that's not assignment

thank you alot for your efforts