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Homework Help: Critical points of a Hyperbolic function

  1. May 20, 2012 #1
    1. The problem statement, all variables and given/known data

    I am trying to find the critical points of the following hyperbolic function:

    f(x) = a / (b + x)

    2. Relevant equations

    Critical points--> where f '(x) = 0

    One of the points on the graph is a/2b

    3. The attempt at a solution

    I am not sure how to proceed with this question.

    f '(x) = -a / (b + x)2

    I attempted the quadratic formula with just the denominator, and the solution I came up with was x = -1.
  2. jcsd
  3. May 20, 2012 #2


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    Did it occur to you the function may not have any critical points?
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