Answer by user182601 for What was Newton's proof of the Product Rule and why...
This answer just adds the original text and translation.Principia (3e, 1726, p. 244):Cas. 1. Rectangulum quodvis motu perpetuo auctum $AB$, ubi de lateribus $A$& $B$ deerant momentorum dimidia...
View ArticleAnswer by Prem for What was Newton's proof of the Product Rule and why was it...
While Leibniz gave Proof 1 , Newton gave Proof 2.Summarized Proof 1 :Consider the rectangle of sides $u$& $v$. Area is $A=uv$. Increment both to get new Area $(u+du)(v+dv)$. Expand that &...
View ArticleWhat was Newton's proof of the Product Rule and why was it "not satisfactory"?
Piermont (1928) :As is well known, the proof that Newton gave in his Principia that $(uv)' = uv'+vu'$ is not satisfactory.What was Newton's proof of the Product Rule and why was it "not satisfactory" ?
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