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Homework Help: Find the linearization

  1. Feb 27, 2007 #1
    Find the linearization of f(x)= x^1/3 at a=-64

    so i am trying to use f(x)=f(a)+f'(a)(x-a)

    f(a)=-4
    f'(x)=1/3(x^-2/3)
    f'(a)=-1/48

    so i get -4+1/48(x+64)


    is that right?
     
  2. jcsd
  3. Feb 27, 2007 #2

    Dick

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    Well, you say f'(a)=-1/48 and you put +1/48 into the answer. Which is it?
     
  4. Feb 27, 2007 #3
    it is the latter
     
  5. Feb 27, 2007 #4

    Dick

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    Keerect. Then everything is ok.
     
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