Math  Limits/Derivatives
posted by Cal on .
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.

1 = 3p^2 dp/dx  4 dp/dx
1 = (3p^24) dp/dx
dp/dx = 1/(3p^24)
also, note that
dx/dp = 3p^24
and dp/dx = 1/(dx/dp)