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Math - Limits/Derivatives

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The demand x is the number of items that can be sold at a price of $p. For

x = p^3 - 4p + 400,

find the rate of change of p with respect to x by differentiating implicitly.

  • Math - Limits/Derivatives -

    1 = 3p^2 dp/dx - 4 dp/dx
    1 = (3p^2-4) dp/dx
    dp/dx = 1/(3p^2-4)

    also, note that

    dx/dp = 3p^2-4

    and dp/dx = 1/(dx/dp)

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