Determine rate that profit changes as the function of time, Mathematics

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Determine rate that profit changes as the function of time

The product is introduced to market. Weekly profit (in dollars) of that product decays exponentially as function of price which is charged (in dollars) and is provided by P(x)=95000*e^(-0.02*x)

Assume price in dollars of that product, x(t), changes over time t (in weeks) as provided by x(t)=40+0.82*t^2

Determine rate that profit changes as the function of time, P'(t)?

How fast profit is changing with respect to time five weeks after introduction?

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