Tag: product rule

A better demonstration of the product rule
Inspired by The Theoretical Minimum: What You Need to Know to Start Doing Physics: here’s a better proof/justification for the product rule in differential calculus than the one I set out here last month. We will start with what we will treat as an axiomatic definition of the differential of the function : as In […]

Product rule
And here’s a quick recap of a demonstration of the product rule (after Leibniz): Which is, of course, the product rule.

Integration by parts
Saw this referred to in A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity and it made me shudder – as I always seemed to struggle with it at ‘A’ level maths – so here, for my own benefit, is a quick proof/explanation of the method. The general rule […]