a) Prove that if q = n/m for n Z and m N, then for
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for every x, a ˆŠ (0, ˆž).
b) [POWER RULE] Use Exercise 4.1.2 and part a) to prove that xq is differentiable on (0, ˆž) for every q ˆŠ Q and that (xq)' = qxq-1.
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a It is wellknown that if AB R and m N then Thus the desired identity fol...View the full answer
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