This preview shows page 1. Sign up to view the full content.
Unformatted text preview: f' (xo)), sothequantity in parentheses becomes a very small number (which is why we called it E). In fact, ~ 0 as ~x ~ O. When ~X is small, the approximation error t:.x is smaller still. 6.f = f'(xo)~x + E ~x . --,-' ~ ' ' true estimated error change change If y = f(x) is differentiable at x = xo, and x changes from Xo to Xo + ~x. the change ~y in f is given by an equation of the form ~y = f'(xo)6.x + E ~x in which ~ 0 as ~x ~ O....
View Full Document
This note was uploaded on 09/08/2008 for the course EAC 101 taught by Professor Tyler/ralston during the Fall '08 term at University of Louisville.
- Fall '08