Find the rate of change of x with respect to p. 
, 
Definitions:
Payback Period
The period of time required for the return on an investment to "pay back" the sum of the original investment.
Initial Cost
The first total amount of money spent to purchase or invest in a project, product, or asset, not including any subsequent costs.
Required Rate of Return
The required rate of return is the minimum annual percentage return an investor expects to achieve from an investment, considering the risk associated with it.
Payback Rule
An investment appraisal technique that calculates the time required to recoup the cost of an investment, focusing on cash flow rather than profitability.
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