# Suppose #T_4(x) = 7-3(x-2)+7(x-2)^2-6(x-2)^2+8(x-2)^4# is the degree 4 Taylor polynomial centered at x=2 for some function f, how do you estimate the value of f'(1.9)?

##### 1 Answer

Aug 25, 2017

Depending on the final details in your approximation method, you could either say

#### Explanation:

We have

Therefore,

To get the more accurate approximation, plug

To get a less accurate approximation, we can get a linear approximation to