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Max/Min of Polynomial Function

  1. Mar 29, 2006 #1
    The question is:

    Determine the equation of the line tangent to f(x)=4x^3+12x^2-96x wit hthe smallest slope on the interval -4 <= x <= 2.

    So I found the derivative and critical numbers to find the max and min but where do I go from there?
  2. jcsd
  3. Mar 29, 2006 #2


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    So you need to find the line with minimum slope. What function gives you the slope? How do you find extremes of a function?
  4. Mar 29, 2006 #3
    By finding the critical numbers of the derivative and plugging them into the original function, as well as the intervals and finding the lowest number would be the minimum value.
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