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Homework Help: Error Estimating

  1. Feb 28, 2009 #1
  2. jcsd
  3. Feb 28, 2009 #2


    Staff: Mentor

    The function is f(x) = sin(2x). Find f'(x) and then f''(x). What is the largest possible value of f''(x)?
  4. Feb 28, 2009 #3
    so because sin 2x cannot be more than 1 between the pi/2 and 0??
  5. Feb 28, 2009 #4
    sin(x) oscillates between -1 and 1. Check on the TI.

    Also, sin(nx) , such as sin(3x) , just increases the frequency I think. You can graph that too. It just squooshed the oscillations closer to the y-axis. So they are still in between -1 and 1.
  6. Feb 28, 2009 #5
    o ok i got it thanks
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