• Support PF! Buy your school textbooks, materials and every day products Here!

Find the linearization

  • Thread starter Rasine
  • Start date
  • #1
205
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?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Well, you say f'(a)=-1/48 and you put +1/48 into the answer. Which is it?
 
  • #3
205
0
it is the latter
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
618
Keerect. Then everything is ok.
 

Related Threads on Find the linearization

Replies
16
Views
769
  • Last Post
Replies
3
Views
2K
Replies
7
Views
4K
  • Last Post
Replies
3
Views
1K
Replies
0
Views
1K
  • Last Post
Replies
1
Views
3K
Replies
1
Views
980
  • Last Post
Replies
3
Views
1K
Replies
1
Views
2K
Replies
2
Views
2K
Top