Find the linearization

  • #1
208
0
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?
 
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  • #2
Well, you say f'(a)=-1/48 and you put +1/48 into the answer. Which is it?
 
  • #3
it is the latter
 
  • #4
Keerect. Then everything is ok.
 

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