B
Benjamin Bickers
Member
Hi All,
I have a question on the Taylor's Theorem that is given in the notes in Chapter 10, page 13 that I was hoping someone might be able to answer.
The theorem is given to the second order in the notes as follows (sorry for the ugly formulas!):
df(xt) = f'(xt)dxt + 1/2f''(xt)(dxt)^2 + …
The reader is then referred to the tables page 3 if unfamiliar with the above theorem. However, the theorem given in the tables looks very different:
f(x+h) = f(x) + hf'(x) + 1/2h^2f''(x) + …
I can't, through renaming variables and moving parts around, get from the first theorem to the second, does anyone know how these two formulas can be reconciled?
Thanks very much!
I have a question on the Taylor's Theorem that is given in the notes in Chapter 10, page 13 that I was hoping someone might be able to answer.
The theorem is given to the second order in the notes as follows (sorry for the ugly formulas!):
df(xt) = f'(xt)dxt + 1/2f''(xt)(dxt)^2 + …
The reader is then referred to the tables page 3 if unfamiliar with the above theorem. However, the theorem given in the tables looks very different:
f(x+h) = f(x) + hf'(x) + 1/2h^2f''(x) + …
I can't, through renaming variables and moving parts around, get from the first theorem to the second, does anyone know how these two formulas can be reconciled?
Thanks very much!