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The concentration(in milligrams per cubic centimeter) of a certain drug in a patients body t hours after injection is given by C(t)= t^2/3t^3+1, 0 greater than t or greater than 5.(0<T)
When is the concentration of the drug increasing and when is it decreasing?

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The concentration of a certain drug in a patients body is determined. A complete, neat and step-by-step solution is provided in the attached file.

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C(t) = t²/(3t³ + 1).
Differentiating with respect to t, we get C'(t) = [(3t³ + 1)(2t) - t²(9t²)]/(3t³ + 1)² = [2t - 3t^4]/(3t³ + ...

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