Page 191 - Excel for Scientists and Engineers: Numerical Methods
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168 EXCEL: NUMERICAL METHODS
(8-23)
as aR
R--S-
84 34
Aq = (8-24)
aR as as aR
aP 84 aP a4
To find the partial derivatives 6R/6p, etc, we could follow the usual
procedure of making a small change in p to find the corresponding change in b.
Instead, we will calculate the partial derivatives using analytical expressions.
Differentiating the expressions 8-11 to 8-14 with respect to p yields the
following:
abn
cn =- (8-25)
aP
(8-26)
(8-27)
(8-28)
(8-29)