# Relation between computation of curl and divergence and their formal definitions

both divergence and curl of a vector field have a formal definition, however, we don't use these definitions when we compute the divergence or curl. so can we just derive the computations from the definitions?

• What do you mean with 'we don't use these definitions'?, because I think we do. Or can you give the definitions? – WarreG Jan 24 '19 at 10:09
• Would Mathematics be a better home for this question? – Qmechanic Jan 24 '19 at 10:17
• I just want to know how to derive the formula for the curl or divergence from their formal definitions – gogo oka Jan 24 '19 at 16:38