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Define derivative from 3 perspectives?

  1. Mar 22, 2004 #1
    Define derivative from 3 perspectives?

    I might be off but I only came up with slope and rate of change?
    Is this correct? Whats the 3rd one?

    Thanks for any help in advance !!!
     
  2. jcsd
  3. Mar 22, 2004 #2

    matt grime

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    linearization
     
  4. Mar 22, 2004 #3

    HallsofIvy

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    Slope of the tangent line.

    (Which is just a different way of saying what matt grime said.)
     
  5. Mar 22, 2004 #4

    matt grime

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    How about "the reverse of integration (on continuous functions)"

    Or an element of Der(C^(oo)(R)) if you want to be fancy.

    OK so that's what differentiation is, not exactly the same as the derivative.
     
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