(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose that t hours after a piece of food is put in the fridge its temperature (in Celsius) is

T(t) = 15 - 3t + [tex]\frac{4}{t - 1}[/tex]

where 0 [tex]\leq[/tex] t [tex]\leq[/tex] 5.

Find the rate of change of temperature after one hour.

3. The attempt at a solution

Since it's asking for rate of change, I'm guessing I have to find the derivative of the equation with respect to t.

T(t) = 15 - 3t + [tex]\frac{4}{t - 1}[/tex]

T`(t) = 0 - 3 + [tex]\frac{0(t - 1) - 1(4)}{(t-1)^{2}}[/tex](Quotient Rule)

T`(t) = -3 + [tex]\frac{0 - 4}{(t-1)^{2}}[/tex]

T`(t) = -3 + [tex]\frac{-4}{(t-1)^{2}}[/tex]

T`(t) = -3 - [tex]\frac{4}{(t-1)^{2}}[/tex]

Would I just plug in 1 after this?

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# Homework Help: Rate of change problem

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