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Vector Identity (del operator)

  1. Jul 19, 2012 #1
    i am completely lost as to how to go from
    [tex]p^ \frac{1}{m}∇p[/tex]
    to
    [tex]\frac{m}{m+1} ∇p^\frac{m+1}{m}[/tex]
     
    Last edited: Jul 19, 2012
  2. jcsd
  3. Jul 19, 2012 #2
    In general, the chain rule should tell you that,

    [tex]\nabla p^a = a p^{a-1} \nabla p[/tex]

    Choose an appropriate value for [itex]a[/itex] and see what happens.
     
  4. Jul 19, 2012 #3
    oh wow.....nice trick
    what-you-did-there-i-see-it.thumbnail.jpg
     
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