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)
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
but unfortunately i couldn't go forward!!
the answer in the back of the book is