Solve with respect to P

(solving with p prime)

The price p (in dollars per unit) and demand x (in thousands of units) for a firm's products is given by the following function: x=5,600p+103,000 If the current price of $2.25 per unit is increasing at a rate of $0.20 per week, find the rate of change (in thousands of units per week) of the demand of the product. Show your work. dtdx=160