Assume f and g are two continuous functions in (a, b).(adsbygoogle = window.adsbygoogle || []).push({});

If at the start of the segment I've shown f>g by taking the lim where x ---> a+ and the f ' > g ' for every x in (a,b )

can i say that f >g for all x in (a,b )? is there a theorem for that? that looks intuitively right.

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# Inequality of functions

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