Hi everybody, I hope anyone could help

1. The problem statement, all variables and given/known data

Find the first three terms of the Taylor series for f(x) at c.

2. Relevant equations

f(x)= f(c) + f'(c).(x-c)/1! + f"(c).(x-c)^2/2! + f'''(c).(x-c)^3/3! + ... + fn(c).(x-c)^n/n! + ...

3. The attempt at a solution

what I understand is that I have to find the followings:

f'(x), f''(x), f'''(c)

and

f'(c), f''(c), f'''(c)

is that right?

well, to find f'(x) I used the product rule

d/dx (uv) = u'v + uv'

u = x

u' = 1

v = e^x

v' = e^x

d/dx (xe^x) = e^x + xe^x

= e^x(1+x)

but unfortunately i couldn't go forward!!

the answer in the back of the book is