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Derivative of a long function

  1. Oct 27, 2003 #1
    What is the derivative of

    y = (x^3/2)(sinxcosx)^2

    is it

    (x^3/2)(2sinxcosx)(cos^2x - sin^2x) + (3sqrt(x)/2)(sinxcosx)^2 ?
  2. jcsd
  3. Oct 27, 2003 #2
    yes, I get that answer too
    but the derivative becomes easier and neater if you notice that sinxcosx=1/2sin2x
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