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Derivatives of fields

  1. Apr 10, 2014 #1
    Given a vector field f, I can compute the rotational tendency in the direction n (×f·n), the translational tendency in the direction t (∇f·t) and the divergence (·f) too. So, given a scalar field f, why I can compute only the directional derivative (translational tendency (t)) in the wanted direction?
     
  2. jcsd
  3. Apr 10, 2014 #2
    Because what would it even mean for a scalar field to have a rotational tendency, or to diverge?
     
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