# Taylor expansion derivative

• Nov 16th 2008, 11:18 AM
hunter55
Taylor expansion derivative
Using Taylor expansion, show that the one-sided formula (f-2-4f-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.

do the same for

[f(
xo+h)-2f(xo)+f(xo)+f(xo-h)]/(h2)

to prove it is
O(h2)

Please i need some help i am terribly confused
• Nov 16th 2008, 11:51 AM
Mathstud28
Quote:

Originally Posted by hunter55
Using Taylor expansion, show that the one-sided formula (f-2-4f-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.

do the same for

[f(xo+h)-2f(xo)+f(xo)+f(xo-h)]/(h2)

to prove it is O(h2)

Please i need some help i am terribly confused

I have absolutely no idea what this says.

$\frac{f(x_0-2h)-4f(x_1-h)+3f(x_0)}{2h}=O(h^2)$?
• Nov 16th 2008, 12:57 PM
hunter55
yaa
yaa