What is the meaning of dpdt what is its sign how would you, Physics

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What is the meaning of dpdt what is its sign how would you

Let P be the total petroleum reservoir on Earth in the year t. (In other words, P represents the total quantity of petroleum, including what's not yet discovered, on Earth at time t.) Assume that no new petroleum is being made and that P is measured in barrels. What are the units of dP/dt? What is the meaning of dP/dt? What is its sign? How would you set about estimating this derivative in practice? What would you need to know to make such an estimate?

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