Implicit differentiation and related rates with demand function business calculus

In this calculus example, the demand function for a product is given by p(n)= where p is the price in dollars and n is the quantity in thousands. If adverse weather conditions are driving the price up by $ per week, find the rate at which the demand quantity for the product is changing when the price is $.
We use implicit differentiation and related rates with a demand function to calculate the change in demand dn/dt (sometimes dq/dt) when given rate of change in price dp/dt. Each part of this process is explained and written step-by-step.