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please explain

A student proposes the function \( P \), given by \( P(t)=20+10 t e^{-t / 3} \), as a model for the temperature of the water in the pond at time \( t \), where \( t \) is measured in days and \( P(t) \) is measured in degrees Celsius. Find \( P^{\prime}(12) \). Using appropriate units explain the meaning of your answer in the context of the problem.