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Other ways of expressing a derivative.

  1. May 26, 2013 #1
    Hey, I was wondering if there is another way of expressing the derivative 2x(the derivative of the function x^2). I was wondering because there doesn't seem to be a y part to this. Like in y/x, a change in x makes a change in y. So how would I express this with y as well?
  2. jcsd
  3. May 26, 2013 #2


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    Staff Emeritus
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    If y = x^2, then dy/dx = 2x.
  4. May 26, 2013 #3
    Yeah, I know, but what does the y have to do with the 2x?
  5. May 26, 2013 #4
    If ##y=x^2##, then 2x is the instantaneous rate of change of y at x.
  6. May 26, 2013 #5
    dy/dx=2√y ? not exactly sure what you're asking..
  7. May 27, 2013 #6


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    Staff: Mentor

    At any point x, the slope of the y=x2 curve is known and is equal to 2x.
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