Tag
Derivative
Entries tagged derivative.
2 entries
Concept
The derivative as local sensitivity
The derivative of a function at a point is the limit of its average rate of change as the interval shrinks to nothing, giving the exact sensitivity of the output to a tiny nudge in the input at that single instant.
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