Re: prop 21,Q8

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Posted by stefan on March 07, 2003 at 00:42:34:

In Reply to: prop 21,Q8 posted by stefan on March 07, 2003 at 00:10:38:

actually, now I realize you need a=b to use rolle's theorem and the max/min principle to show that if f'(x)=0 for all x, then f(x) is the constant function, but I still think it messes up part (a) and part (b).

>I think the condition a<=b should be a

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Re: prop 21,Q8 Terence Tao 10:54:26 3/07/2003 (0)

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>actually, now I realize you need a=b to use rolle's theorem and the max/min principle to show that if f'(x)=0 for all x, then f(x) is the constant function, but I still think it messes up part (a) and part (b). >>I think the condition a<=b should be a<b in order for the result to be true. In other words to get strictly greater than or less zero we can't have a=b.
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