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Taylor Series Expansion

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Finite Differences for Derivation<br />

<strong>Taylor</strong> expansion for F( x h)<br />

F(<br />

x<br />

<br />

h)<br />

<br />

F(<br />

x)<br />

<br />

hF'(<br />

x)<br />

<br />

2<br />

h<br />

2!<br />

F''(<br />

x)<br />

.....<br />

F(<br />

x)<br />

<br />

F(<br />

x<br />

<br />

h)<br />

<br />

hF'(<br />

x)<br />

<br />

O(<br />

h<br />

2<br />

)<br />

F'(<br />

x)<br />

<br />

F(<br />

x)<br />

<br />

F(<br />

x<br />

h<br />

<br />

h)<br />

Backward Difference Formula

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