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Expanding a multivariable function in powers of one of the variables?

  1. Nov 16, 2014 #1
    So I've started reading Landau's classical mechanics text and I'm at the part where L(v'2) = L(v2 + 2v⋅ε +ε2) and he says to expand it out in powers of ε to get L(v'2) = L(v2) + ∂L/∂(v2) * 2v⋅ε where v and ε are vectors.

    Can someone explain how this result is obtained in more detail?
  2. jcsd
  3. Nov 16, 2014 #2
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