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Math Help - derivatives of quotients

  1. #1
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    derivatives of quotients

    Hi. I have this question hat I'm not sure on.

    Alison has let her hamster run loose in her living room. The position function of the hamster is  s(t)=\frac{5t}{t^2+4}, t is greater than or equal to 0, where s is in metres, and t is in seconds.

    A) how fat is the hamster moving after one second.
    I think I get this one, since the original function is a speed function and speed is a change in position then the derivative would yield the position after 1 s.

    B) when does the hamster change direction?

    I'm not sure how would I tell when the hamster changes direction.
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  2. #2
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    Quote Originally Posted by darksoulzero View Post

    A) how fat is the hamster moving after one second.
    find s'(1)

    Quote Originally Posted by darksoulzero View Post
    B) when does the hamster change direction?
    solve s'(t)=0
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