Example
13. Given
,
find numerical approximations to the derivative
,
using three points and the backward difference formula.
Solution 13.
![[Graphics:../Images/NumericalDiffMod_gr_307.gif]](../Images/NumericalDiffMod_gr_307.gif)
![[Graphics:../Images/NumericalDiffMod_gr_310.gif]](../Images/NumericalDiffMod_gr_310.gif)
![[Graphics:../Images/NumericalDiffMod_gr_313.gif]](../Images/NumericalDiffMod_gr_313.gif)
![[Graphics:../Images/NumericalDiffMod_gr_316.gif]](../Images/NumericalDiffMod_gr_316.gif)
![[Graphics:../Images/NumericalDiffMod_gr_319.gif]](../Images/NumericalDiffMod_gr_319.gif)
![[Graphics:../Images/NumericalDiffMod_gr_322.gif]](../Images/NumericalDiffMod_gr_322.gif)
Animation 4. ( Numerical Differentiation Numerical Differentiation ).
(c) John H. Mathews 2004