proof of generalized Leibniz rule
If , the generalized Leibniz rule reduces to the plain Leibniz rule. This will be the starting point for the induction. To complete the induction, assume that the generalized Leibniz rule holds for a certain value of ; we shall now show that it holds for .
Write . Applying the plain Leibniz rule,
By the generalized Leibniz rule for (assumed to be true as the induction hypothesis), this equals
which is the generalized Leibniz rule for the case of .
|Title||proof of generalized Leibniz rule|
|Date of creation||2013-03-22 14:34:14|
|Last modified on||2013-03-22 14:34:14|
|Last modified by||rspuzio (6075)|