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This is a graded discussion on the topic differentiation, i need your help please?
Published by: smith 2009-01-09
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    An efficiency study conducted for the Undercover Farms Cooperative showed that the number of cases of cucumbers packed by the average worker x hours after starting work at 8 a.m. is given by the function

    f(x) = -x3 + 4x2 + 12x for 0 < x < 4.

    The cooperative wishes to validate this function in terms of the time of the work day for which the efficiency of the staff is increasing as well as the time of the work day for which the efficiency of the staff is decreasing.
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    As a young graduate on staff, you are asked to undertake the validation.

    Discuss and demonstrate how you would use Differentiation to find

    (a) the efficiency of the staff at 2 hours after the start of work
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    (b) Is the efficiency increasing or decreasing at that time?
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    (c) the times of the work day ( i.e. values of x) for which the efficiency of the staff is increasing;

    (d) the times of the work day ( i.e. values of x) for which the efficiency of the staff is decreasing.



  • Come on James, 1st Plug the value of 2 for x and solve for #1

    2nd take the first derivative and plug 2 in for x for #2

    I have helped enough and it has been way to long, I took Cal 1 in 1971.

    Smile





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