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Partial derivatives of level curves

  1. Mar 1, 2015 #1
    1. The problem statement, all variables and given/known data
    Let ##C## be a level curve of ##f## parametrized by t, so that C is given by ## x=u(t) ## and ##y = v(t)##
    Let ##w(t) = g(f(u(t), v(t))) ##
    Find the value of ##\frac{dw}{dt}##

    2. Relevant equations
    Level curves
    Level sets
    Topographic maps

    3. The attempt at a solution
    Is it true that the answer to a level curve question is always zero? My teacher went over this but I couldn't understand him.
     
  2. jcsd
  3. Mar 1, 2015 #2
    What does it mean to be on a level curve? What value will f put out for any changes in t? How does the g or w function change corresponding to f's change.
     
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