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chingching
Joined: 17 Nov 2004Posts: 11
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Posted: Sat Mar 26, 2005 9:22 am Post subject: a math problem
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how can use the M.I to prove the rule of differenyiation?(power rule) 
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leepakhin
Joined: 24 Mar 2005Posts: 12
Location: Hong Kong
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Posted: Sat Mar 26, 2005 11:33 pm Post subject: power rule
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Proof: When n=1,
Assume that when n=k,
then when n=k+1
Therefore,
for all natural n
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Polam
Frequent VisitorJoined: 03 Nov 2003Posts: 373
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Posted: Sat Mar 26, 2005 11:48 pm Post subject:
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I think the point is that other than M.I., you need the product rule for differentiation (and the fact that the derivative of constants is 0) to complete the induction.
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