Suppose the number (in millions) of bacteria present in a culture at time (t) is given by

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Suppose the number (in millions) of bacteria present in a culture at time \(t\) is given by the formula

\[N(t)=2 t^{2}-200 t+1,000\]

Use this formula in Problems 57-60.

Derive a formula for the instantaneous rate of change of the number of bacteria with respect to time.

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