• 06 Power Rule proof
Definition of differentiation
(x˄n)▽x = ｢((x+h)˄−x˄n)/h :h⨠0｣
Binomial Expansion
(x+h)˄n
= ｢n!/((n−k)!·k!)·x˄(n−k)·h˄k Σk=0,n｣
(x+h)˄n − x˄n
= ｢n!/((n−k)!·k!)·x˄(n−k)·h˄k Σk=1,n｣
((x+h)˄n−x˄n) / h
= ｢n!/((n−k)!·k!)·x˄(n−k)·h˄(k−1) Σk=1,n｣
｢((x+h)˄n−x˄ ...
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