# Homework Help: Taylor's Theorem

1. Nov 29, 2011

### glebovg

Last edited: Nov 29, 2011
2. Nov 30, 2011

### HallsofIvy

Yes. By the product rule, the derivative of each term contains two parts: the part where you are differentiating $f^{(n)}(x)$ and the part where you re differentiating $(b- x)^n$. The first part cancels the previous term and the second part cancels the next term.