Why do we need to approximate values when we can easily come up with the exact value? For instance, finding the max error in the measurement of a cone can easily be computed. Why do we still need to approximate error using differentials? It doesn't make sense..
2026-04-01 18:55:36.1775069736
Why do we need to approximate values when we can easily come up with the exact value?
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Computers find it much easier to approximate integrals than analytically calculate them. From a practical perspective, you can approximate a differential to as high a degree of accuracy as you want. When doing them manually, not all integrals are easy to find (and some are even impossible).