# Homework Help: Expanding taylor polynomial

1. Apr 9, 2010

### Ryuuken

1. The problem statement, all variables and given/known data
Derive a method for approximating f'''(x0) whose error term is of order $$h^{2}$$ by expanding the function f in a fourth taylor polynomial about x0 and evaluating at $$x_{0} \pm h$$ and $$x_{0} \pm 2h$$.

2. Relevant equations

3. The attempt at a solution

I'm not sure where to start.

2. Apr 10, 2010

### Fredrik

Staff Emeritus
Sounds like you should start by using Taylor's formula on the two expressions $f(x_0+h)$ and $f(x_0+2h)$.