Please Help. A company selling widgets has found that the number of items sold x depends upon the price p at which they're sold

Question

A company selling widgets has found that the number of items sold  depends upon the price  at which they're sold, according the equation .

Due to inflation and increasing health benefit costs, the company has been increasing the price by  per month. Find the rate at which revenue is changing when the company is selling widgets at  each.  

 dollars per month

Answer 1

Here's the process:

R = px = p(10000)/sqrt(6p+1)

dR/dt = 10000((6p+1)p - p(1/2)(6p+1)^-1/2(6))/(6p+1) dp/dt (vdu/dt - udv/dt)/v²)

Plug in p, and dp/dt.

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