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Finding Formulas

  1. Jan 22, 2009 #1
    Part 1:Factor the expressions a^2-b^2 and a^3-b^3

    For part 1, i worked it out to be:
    (a+b)(a-b) and (a-b)(a^2+ab+b^2)

    Part 2: Suppose f(x) is a function that has a derivative. Let g(x)=x^2f(x), k(x)=[tex]\sqrt{f(x)}[/tex], and p(x)=^3[tex]\sqrt{f(x)}[/tex]. Without using the product rule and w/o using the chain rule, find formulas for g'(a), k'(a), and p'(a) in terms of a, f(a) and f'(a)

    Any help would be great for part 2. I really don't know how to tackle this problem. Thanks!
  2. jcsd
  3. Jan 23, 2009 #2


    Staff: Mentor

    There was no restriction on using the limit definition of the derivative. I think that might be where they're trying to steer you, especially with the problem in part 1.
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