|
2 | deleted 1 characters in body; edited title | ||
Why is the Leibnitz Leibniz rule a definition for derivations?In differential geometry, the tangent space is defined as a generalization of directional derivatives, which in turn are defined as functionals following Leibnitz's Leibniz's product rule. I understand all the proofs, but what is the intuition behind choosing the product rule to capture the notion of derivatives, rather than any other property? |
||||
|
|
1 |
|
||
Why is the Leibnitz rule a definition for derivations?In differential geometry, the tangent space is defined as a generalization of directional derivatives, which in turn are defined as functionals following Leibnitz's product rule. I understand all the proofs, but what is the intuition behind choosing the product rule to capture the notion of derivatives, rather than any other property?
|
||||
