You can easily differentiate a set of (computer defined) operations formed of composition of standard operations (sums, products, etc), as in, you can define an

You can easily differentiate a set of (computer defined) operations formed of composition of standard operations (sums, products, etc), as in, you can define another set of computer operations that is the exact, precise derivative of the first. Wikipedia is a bit dense, but it's explained here: https://en.wikipedia.org/wiki/Automatic_differentiation https://en.wikipedia.org/wiki/Automatic_differentiation