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Optimization question

  1. Nov 11, 2007 #1
    1. The problem statement, all variables and given/known data

    At which points on the curve y=1 + 40x^3 - 3x^5 does the tangent line have th largest slope?

    2. Relevant equations

    derivative is 120x^2-15x^4.....

    3. The attempt at a solution

    how should i do this? start by setting the derivative equal to zero to find critical #s, but then what?
  2. jcsd
  3. Nov 11, 2007 #2


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    Science Advisor
    Homework Helper

    It asks you to maximize the slope of the tangent line = to maximize the first derivative.
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