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Math Help - Max/Min Problem!

  1. #1
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    Max/Min Problem!

    The Position function of an object moves in a straight line, Is:

    s(t)= 1 + 2t - 8/(t^2+1)

    Find the max andmin velocities for the object between 0<=x<=2

    So what I tried was getting the 0's for the derivitive but i cant find any 0's! whats going on!!!!
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  2. #2
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    The function is going to assume max/min in either an extreme point or one of the endpoints. What does your derivative look like?
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  3. #3
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    Ok so i realized that the max min is when the acceleration is = 0 so i continued to find the second derivitive and it is equal to:

    4t^3 +4t + 8

    than i continued to find the zeros of that and the only zero is negative 1 which is confusing cause it doesnt fit in the domain..:S
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  4. #4
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    OOOOO so do you use the endpoints since it cant occur inbetween?
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