![[Graphics:Images/RichardsonExtrapMod_gr_193.gif]](../Images/RichardsonExtrapMod_gr_193.gif){kind=small}
,
find numerical approximations to the derivative ![[Graphics:Images/RichardsonExtrapMod_gr_194.gif]](../Images/RichardsonExtrapMod_gr_194.gif){kind=small}
,
using five points and the central difference formula.Example
9. Given ,
find numerical approximations to the derivative ,
using five points and the central difference formula.
Solution 9.
![[Graphics:../Images/RichardsonExtrapMod_gr_195.gif]](../Images/RichardsonExtrapMod_gr_195.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_196.gif]](../Images/RichardsonExtrapMod_gr_196.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_199.gif]](../Images/RichardsonExtrapMod_gr_199.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_202.gif]](../Images/RichardsonExtrapMod_gr_202.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_205.gif]](../Images/RichardsonExtrapMod_gr_205.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_208.gif]](../Images/RichardsonExtrapMod_gr_208.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_211.gif]](../Images/RichardsonExtrapMod_gr_211.gif)
(c) John H. Mathews 2004
![[Graphics:../Images/RichardsonExtrapMod_gr_197.gif]](../Images/RichardsonExtrapMod_gr_197.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_198.gif]](../Images/RichardsonExtrapMod_gr_198.gif){kind=small}
![[Graphics:../Images/RichardsonExtrapMod_gr_200.gif]](../Images/RichardsonExtrapMod_gr_200.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_201.gif]](../Images/RichardsonExtrapMod_gr_201.gif){kind=small}
![[Graphics:../Images/RichardsonExtrapMod_gr_203.gif]](../Images/RichardsonExtrapMod_gr_203.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_204.gif]](../Images/RichardsonExtrapMod_gr_204.gif){kind=small}
![[Graphics:../Images/RichardsonExtrapMod_gr_206.gif]](../Images/RichardsonExtrapMod_gr_206.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_207.gif]](../Images/RichardsonExtrapMod_gr_207.gif){kind=small}
![[Graphics:../Images/RichardsonExtrapMod_gr_209.gif]](../Images/RichardsonExtrapMod_gr_209.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_210.gif]](../Images/RichardsonExtrapMod_gr_210.gif){kind=small}
![[Graphics:../Images/RichardsonExtrapMod_gr_212.gif]](../Images/RichardsonExtrapMod_gr_212.gif)
![[Graphics:../Images/RichardsonExtrapMod_gr_213.gif]](../Images/RichardsonExtrapMod_gr_213.gif){kind=small}