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Math Help - Rate of change in demand

  1. #1
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    Rate of change in demand

    D(p)= 2sqrt 55-6p

    find rate of change when p=5
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  2. #2
    Super Member Aryth's Avatar
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    All you do to find the rate of change is take the first derivative with respect to p, we know that:

    D(p) = 2\sqrt{55 - 6p} = 2(55 - 6p)^{\frac{1}{2}}

    So, the derivative would be:

    \frac{dD}{dp} = D'(p) = 2*\frac{1}{2}*\frac{1}{\sqrt{55 - 6p}}*-6

    D'(p) = \frac{-6}{\sqrt{55 - 6p}}

    All you do is plug in p = 5.
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