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Derivatives Affecting Shape of the Graph

  1. Nov 7, 2006 #1
    I have the following question:

    h(x) = (x^2-1)^3

    a) Find the intervals of increase or decrease
    b) Find the local maximum and minimum values
    c) Find the intervals of concavity and the inflection points
    d) Use the informatin from parts (a)-(c) to sketch the graph

    Now I figure a good way of starting this question is just to graph it to begin with anyways. However, the first step really is to find the derivative (f') of this function if I am not mistaken. However, can anyone explain to me how you would go about finding the intervals of increase or decrease for this function. From there, I can figure out the rest. That's all, thanks guys.
  2. jcsd
  3. Nov 7, 2006 #2


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    Dearly Missed

    Well, what does it mean that a function is increasing?
    And how may you ascertain where a differentiable function is increasing?
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