MATH
posted by PAUL .
Let f(x) = 3(x1)^3 + 4(x1)^2 + 2(x1) 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).

(a) Only the first term (3x1)^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 (x1) terms?
Respond to this Question
Similar Questions

calculus
Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=3, f''(0)=1, and f'''(0)=4. Write the thirddegree Taylor polynomial for h, where h(x) = integral of f(t)dt from 0 to x, about x=0 for … 
Statistics
Second Problem A. determine the mean, median, and the standard deviation B. Determine the coefficient of skewness using Pearson's method C. Determine the coefficient of skewness using the software method Commison earned($000)last year … 
Math
Let f(x) = 3(x1)^3 + 4(x1)^2 + 2(x1) 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 … 
math
how do i represent 1/(1+x^4) in general taylor polynomial. I know the pattern is 1x^4+x^8x^16..... I don't know how to represent this pattern in variables equation form. What i mean by general taylor polynomail is for example 1/(1x)=1+x+x^2+x^3...+x^n. … 
Calculus
Hi~ Thank you for your help! I was trying to work on a problem about Taylor series, but i don't think im approaching the problem the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function f(x) … 
Math
Hello, I am learning about Taylor series in school, but they are quite confusing.. Can you please explain how I should do this problem? 
math (taylor polynomials)
Find the degree 3 Taylor polynomial T3(x) of the function f(x)=(7x+50)4/3 at a=2 Find the seconddegree Taylor polynomial for f(x)=4x2−7x+6 about x=0 thank you! (: 
Calculus grade 12
a) determine the derivative of y = sin2x b) determine the derivative of y = 2SinxCosx c) shoe that derivatives in parts a) and b) are equal d) explain why derivatives in parts a) and be should be equal. 
Math
Can someone please help me. A single card is selected from a standard 52card deck. B= the drawn card is black; R= the drawn card is red; Q= the drawn card is a queen; F= the drawn card is a face card ( a king, queen or jack). Without … 
Calculus Derivative Taylor Series?
let f(x)= x/x1 find f'(x) f ''(x) and a formula for f ^ (n) * x. I found the first and second derivatives but do not know how to make a general equation for this. I have not learnt the Taylor or Maclaurin Series either. Thank you.