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Revision as of 18:48, 20 June 2008
, 18:48, 20 June 2008→Taylor Series Expansion: fill table
| <math>df|_{(x)\ y}\!</math>
| <math>df|_{(x)\ y}\!</math>
| <math>df|_{(x)(y)}\!</math>
| <math>df|_{(x)(y)}\!</math>
|-
| <math>f_0\!</math>
| <math>0\!</math>
| <math>0\!</math>
| <math>0\!</math>
| <math>0\!</math>
| <math>0\!</math>
| <math>0\!</math>
|-
|
{| align="center"
|
<math>\begin{smallmatrix}
f_{1} \\
f_{2} \\
f_{4} \\
f_{8} \\
\end{smallmatrix}</math>
|}
|
{| align="center"
|
<math>\begin{smallmatrix}
(y) & \operatorname{d}x & + & (x) & \operatorname{d}y \\
y & \operatorname{d}x & + & (x) & \operatorname{d}y \\
(y) & \operatorname{d}x & + & x & \operatorname{d}y \\
y & \operatorname{d}x & + & x & \operatorname{d}y \\
\end{smallmatrix}</math>
|}
|
{| align="center"
|
<math>\begin{smallmatrix}
\operatorname{d}x\ \operatorname{d}y \\
\operatorname{d}x\ \operatorname{d}y \\
\operatorname{d}x\ \operatorname{d}y \\
\operatorname{d}x\ \operatorname{d}y \\
\end{smallmatrix}</math>
|}
|
{| align="center"
|
<math>\begin{smallmatrix}
0 \\
\operatorname{d}x \\
\operatorname{d}y \\
\operatorname{d}x + \operatorname{d}y \\
\end{smallmatrix}</math>
|}
|
{| align="center"
|
<math>\begin{smallmatrix}
\operatorname{d}x \\
0 \\
\operatorname{d}x + \operatorname{d}y \\
\operatorname{d}y \\
\end{smallmatrix}</math>
|}
|
{| align="center"
|
<math>\begin{smallmatrix}
\operatorname{d}y \\
\operatorname{d}x + \operatorname{d}y \\
0 \\
\operatorname{d}x \\
\end{smallmatrix}</math>
|}
|
{| align="center"
|
<math>\begin{smallmatrix}
\operatorname{d}x + \operatorname{d}y \\
\operatorname{d}y \\
\operatorname{d}x \\
0 \\
\end{smallmatrix}</math>
|}
|}
|}
