- #1
hahaha158
- 80
- 0
Homework Statement
Find T4(x), the Taylor polynomial of degree 4 of the function f(x)=arctan(11x) about x=0.
(You need to enter a function.)
Homework Equations
The taylor polynomial equation
Tn(x)= f(x)+(fn(x)(x-a)^n)/n!...
The Attempt at a Solution
When I take every derivative of f(x)=arctan(11x) I always end up with an x in the numerator, so when i plug in 0 for x my derivative ends up with 0, so theoretically the answer would just be arctan(11x) which is wrong.
This is what I am getting for my first few derivatives
F'(x)=22x/(11x^2+1)
F''(x)=-484x^2/(11x^2+1)^-2
what am i doing wrong?