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Simple implicit problem

  1. Mar 24, 2009 #1
    1. The problem statement, all variables and given/known data
    substituting r for y and theta for x as it will be easier to read

    find dy/dx if r=x^2 tan(2x)

    I don't know the answer

    2. Relevant equations



    3. The attempt at a solution

    d/dx (y) = d/dx [x^2 tan(2x)]

    dy/dx = dx/dx [2x] d/dx [tan (2x)]

    dy/dx = 2x sec^2 (2x) (2)

    dy/dx = 4x sec^2 (2x)

    its wrong though
     
  2. jcsd
  3. Mar 24, 2009 #2

    Mark44

    Staff: Mentor

    The line above is wrong. x^2 * tan(2x) is a product, so you need to use the product rule. You are using the chain rule correctly, below.
     
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