Question

the total sales of s (in thousands of dvds) of a certain movie are given by the following formula where t is the number of months since the release of the dvd. use the formula to answer the questions. s(t)=\frac{80t^{2}}{t^{2}+100} a) find s(t). s(t)=□

Explanation:

Step1: Recall quotient - rule

The quotient - rule states that if $y=\frac{u}{v}$, then $y'=\frac{u'v - uv'}{v^{2}}$. Here, $u = 80t^{2}$, $u'=160t$, $v=t^{2}+100$, and $v' = 2t$.

Step2: Apply quotient - rule

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Answer:

$\frac{16000t}{(t^{2}+100)^{2}}$