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Second derivative

  1. Feb 20, 2012 #1
    http://www.math.northwestern.edu/courses/placement/220_Self_Placement.pdf [Broken]

    Question 7 here involves a function with the rule f(x) = 3x5-5x3. I computed the 2nd derivative as f''(x) = 60x3-30x (Mathematica agrees.), giving inflection points for f at -1/sqrt(2), 0, 1/sqrt(2). But the answer given in the PDF is 4x(4x2 - 3), whence they conclude the inflection points are -sqrt(3)/2, 0, sqrt(3)/2. Is this a mistake, or have I overlooked something?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Feb 21, 2012 #2
    You are right, and that is btw not the only mistake in that pdf.
     
  4. Feb 21, 2012 #3
    Thanks for confirming that, Norwegian. Could you tell me any others, or do you know if there's a list of errata anywhere online?
     
  5. Feb 21, 2012 #4
    1d, derivative of ln(..) seems wrong, probably more mistakes too
     
  6. Feb 21, 2012 #5
    Oh yes, wow, so it is! The derivative of ln(2t3-1) is 6t2/(2t3-1), not 6t2/(ln(2t3-1)). When I was checking my answers for those simple ones at the beginning and saw they had something slightly different for 1d, I just assumed it was a typo on my part and didn't look that closely.
     
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