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Maximum/Minimum Derivatives

  1. Nov 24, 2014 #1
    1. The problem statement, all variables and given/known data

    v75ajc.png
    2. Relevant equations


    3. The attempt at a solution

    1)
    I found the asymptote as (+/- 1)

    2)
    Let f(x) = y;

    dy/dx = -2x^2 / (x^4 - 2x^2 + 1) = 0

    -2x^2 - 0
    x = 0;

    Since f() != 1, f(2) > 0 Increasing
    Since f() != -1, f(-2) < 0 Decreasing

    So i guess range is increasing or x >=2, decreasing for x<=-2

    3)
    Since x = 0, how find local max or min or what the toot is saddle point..
     
  2. jcsd
  3. Nov 24, 2014 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Your first derivative dy/dx is wrong. Use the quotient rule!
     
  4. Nov 24, 2014 #3
    I think you've differentiated that incorrectly, remember to use the product (or quotient) rule.
     
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