Question

The demand x is the number of items that can be sold at a price of Sp. For x = p* - 5p^3 + 1100, find the rate of change of p with respect to x by differentiating implicitly.

The rate of change of the price p with respect to the demand x is
a) 4p - 5
b) -5p^2
c) 1100
d) 0

Answer 1

Differentiate the equation x = p* - 5p^3 + 1100 with respect to p to find the rate of change of p with respect to x.

Step-by-step explanation:

To find the rate of change of p with respect to x by differentiating implicitly, we need to find the derivative of the equation x = p* - 5p^3 + 1100. This can be done by taking the derivative of each term of the equation with respect to x using the power rule. The derivative of p with respect to x is the rate of change of p with respect to x, which is the answer we're looking for.