A company introduces a new product for which the number of units sold (s) is s(t) = 300(5 - (10/(3+T))), where T is the time in months since the product was introduced. During which month does s'(t) equal the average value of s(t) during the first year? Possible answers: October July December April March
Added by Robin C.
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Step 1: Find the derivative of the function s(t): \[ s(t) = 300(5 - \frac{10}{3+t}) \] \[ s'(t) = 300 \cdot \frac{d}{dt} (5 - \frac{10}{3+t}) \] \[ s'(t) = 300 \cdot \frac{d}{dt} (5 - 10(3+t)^{-1}) \] \[ s'(t) = 300 \cdot 10(3+t)^{-2} \] \[ s'(t) = Show more…
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