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Differentials in Calculus.

  1. Mar 7, 2015 #1
    I have recently come across the use of differentials in visualizing and thinking about calculus. In this method, one thinks of dx/dy as an actual fraction of infinity small yet real numbers. How is it possible to apply this to implicit functions?
     
  2. jcsd
  3. Mar 8, 2015 #2

    pwsnafu

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    Contradiction in terms. Every real number is finite by definition. What you can do is consider non-real numbers that satisfy ##0<\epsilon<r## for every real number r. This is the core of infinitesimals.
     
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