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Math Help - unsure about definitions

  1. #1
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    unsure about definitions

    hi
    may i know why if g(r(t))=0 or constant then it implies that r'(t) (grad g) = 0 for all values of t?
    Last edited by alexandrabel90; March 13th 2010 at 01:48 AM.
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  2. #2
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    Quote Originally Posted by alexandrabel90 View Post
    hi
    may i know why if g(r(t))=0 or constant then it implies that r'(t) (grad g) = 0 for all values of t?
    By the chain rule, \nabla g(r(t))= r'(t)(\nabla g). Since that measures the rate of change of g- and g doesn't change- it is equal to 0.
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