Tag
Calculus
Entries tagged calculus.
2 entries
Concept
Taylor approximation
A Taylor approximation rebuilds a smooth function near a point using nothing but that point's value and its successive derivatives, one derivative order at a time, and the leftover error after stopping at any order can itself be written down and bounded exactly.
7 min
ConceptThe fundamental link between change and accumulation
The instantaneous rate at which a quantity changes and the running total of that quantity are two descriptions of one process, and differentiating the total always hands back the rate, while integrating the rate always hands back the total.
7 min