Homework Help: MATH

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'''...
Calculus grade 12 - a) determine the derivative of y = sin2x b) determine the ...
Math - Determine whether ~ [ ~(p v ~ q) <-> p v ~ q. Explain the ...
Math Help Please!!!! - Determine which sampling method was used in each scenario...
Calculus Derivative- Taylor Series? - let f(x)= x/x-1 find f'(x) f ''...
Math - Can someone please help me. A single card is selected from a standard 52-...
FINANCIAL ACCOUNTING - a) Discuss General Motors in the context of the forces ...
Probability - Can someone please help me. A single card is selected from a ...
Probability - Can someone please help me. A single card is selected from a ...
Math - Determine whether each general term defines a geometric sequence. Explain...

For Further Reading

First Name:
School Subject:
Answer: