Taylor Series Expansion
2016+Week4
2016+Week4
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Second Derivatives<br />
Similarly various approximations for second derivatives are possible :<br />
F(<br />
x 2h)<br />
2F(<br />
x h)<br />
F(<br />
x)<br />
F' '( x)<br />
<br />
O(<br />
h)<br />
2<br />
h<br />
F''(<br />
x)<br />
<br />
F(<br />
x<br />
<br />
h)<br />
2F(<br />
x)<br />
F(<br />
x h)<br />
O(<br />
h<br />
2<br />
h<br />
2<br />
)<br />
F''(<br />
x)<br />
<br />
<br />
F(<br />
x 2h)<br />
16F(<br />
x h)<br />
30F(<br />
x)<br />
16F(<br />
x h)<br />
F(<br />
x 2h)<br />
O(<br />
h<br />
2<br />
12h<br />
4<br />
)
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