learning calculus here. got differential calculus, though it is a little foggy, and most of integral calculus, which is a little foggier. also using very unpolished precalc background, though i did give most of it a once-over. i have many questions which i can't think of, but of the top of my head...(adsbygoogle = window.adsbygoogle || []).push({});

when learning leibniz notation it is pointed out that derivatives are different than fractions. However, some similarities, such as the chain rule, point to an obvious relationship. would someone please explain this relationship? compare/contrast? If I had to guess I would say that a derivative, being a quantification (of a function at a certain point), is something like a number, in the same way that a fraction is, and thus(?) owning an analogous internal composition. Does that mean derivatives are subject to algebraic field properties if arithmetic operators are applied? sorry just typing random words here...

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Derivatives and fractions (relationship?)

**Physics Forums | Science Articles, Homework Help, Discussion**