Posted by **PAUL** on Friday, November 14, 2008 at 3:14am.

Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7

(a) Determine f'''(1) without taking any derivatives. Explain your method.

(b) Determine the general Taylor polynomial of f aobut c =2 by computing any for each k, using the formula above for f(x).

- MATH -
**drwls**, Friday, November 14, 2008 at 7:19am
(a) Only the first term (3x-1)^3, will have a nonzero third derivative, and it will be the derivative of the 3x^3 term, which is 3*3! = 18

(b) You have not defined k. Is it the different exponents of the (x-1) terms?

## Answer this Question

## Related Questions

- Math - Let f(x) = 3(x-1)^3 + 4(x-1)^2 + 2(x-1) -7 (a) Determine f'''(1) without ...
- calculus - Let f be a function that has derivatives of all orders for all real ...
- Calculus - Hi~ Thank you for your help! I was trying to work on a problem about ...
- math - how do i represent 1/(1+x^4) in general taylor polynomial. I know the ...
- Calculus Derivative- Taylor Series? - let f(x)= x/x-1 find f'(x) f ''(x) and a ...
- math (taylor polynomials) - Find the degree 3 Taylor polynomial T3(x) of the ...
- Calculus grade 12 - a) determine the derivative of y = sin2x b) determine the ...
- Math - Hello, I am learning about Taylor series in school, but they are quite ...
- Math - Determine whether ~ [ ~(p v ~ q) <-> p v ~ q. Explain the method(s...
- calculus - The function f has derivatives of all orders for all real numbers x. ...