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Need help in derivatives! (Urgent)

  1. Oct 18, 2005 #1
    I need help in the following question:
    "The rate of increase of the rate of Inflation is decreasing" Write this sentence in terms of derivatives of average prices.

    My answer: Let p=price
    t= time
    therefore, Rate of change of price = dp/dt = Inflation = I

    therefore, rate of increase of the rate of Inflation = I'

    therefore, I' = (d^2p)/(dt^2)

    Since the rate of increase of the rate of Inflation is decreasing;

    I' = - (d^2p)/(dt^2)

    I just like to ask whether this is correct.
    Thanks.
     
  2. jcsd
  3. Oct 18, 2005 #2
    When a function f(x) is decreasing, [itex] \frac{df}{dx} [/itex] is always negative..
     
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