Concept: There are experimental limits to how $small$ of a change can be measured

Prerequisite concepts

Differential Calculus The derivative is a ratio of small changes

One can view $\frac{df}{dx}$ as approximately given by a fraction where $df$ is a small change in $f$ and $dx$ is a small change in $x$.

Partial Derivative Machine Derivatives

There are experimental limits to how $small$ of a change can be measured

While it is relatively easy to imagine very, very small changes in physical values, there are often experimental limits on how small of a change can be measured. When designing and conducting experiments, there is a tension between these experimental limitations and normative representations of functions as smooth lines or

There are experimental limits to how $small$ of a change can be measured

Representations used

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