# Finding the value of a function using Taylor series

• March 21st 2010, 11:17 AM
Eng
Finding the value of a function using Taylor series
hi

i need the solution for this problem thanks... ;p

Find the value of f(6) given that f(4)=125, f '(4)=74, f "(4)=30, f '''(4)=6 and all other higher derivatives of f(x) at x=4 are zero.(Use Taylor series)

• March 21st 2010, 11:39 AM
chiph588@
Quote:

Originally Posted by Eng
hi

i need the solution for this problem thanks... ;p

Find the value of f(6) given that f(4)=125, f '(4)=74, f "(4)=30, f '''(4)=6 and all other higher derivatives of f(x) at x=4 are zero.(Use Taylor series)

$f(x) = f(4)+f'(4)(x-4)+\frac{f''(4)}{2}(x-4)^2+\frac{f'''(4)}{6}(x-4)^3$.

Now let $x=6$.
• March 21st 2010, 11:55 AM
Eng
thnx chip ;)