Math Forum :: View topic – a math problem

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chingching

Joined: 17 Nov 2004Posts: 11

Posted: Sat Mar 26, 2005 9:22 am    Post subject: a math problem

how can use the M.I to prove the rule of differenyiation?(power rule)

leepakhin

Joined: 24 Mar 2005Posts: 12

Location: Hong Kong

Posted: Sat Mar 26, 2005 11:33 pm    Post subject: power rule

Proof: When n=1,

Assume that when n=k,

then when n=k+1

Therefore,

for all natural n

Polam

Frequent VisitorJoined: 03 Nov 2003Posts: 373

Posted: Sat Mar 26, 2005 11:48 pm    Post subject:

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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