Svar Övning 7.1.3
SamverkanFlervariabelanalysLIU
(Skillnad mellan versioner)
(Ny sida: a) <math>f_{x_{1}}=\frac{x_{1}}{|\mathbf{x}|}</math>, <math>f_{x_{2}}=\frac{x_{2}}{|\mathbf{x}|}</math>, <math>f_{x_{3}}=\frac{x_{3}}{|\mathbf{x}|}</math> b) <math>f_{x_{1}}=2x_{1}</math...) |
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Rad 1: | Rad 1: | ||
a) | a) | ||
- | <math> | + | <math>f'_{x_{1}}=\frac{x_{1}}{|\mathbf{x}|}</math>, |
- | <math> | + | <math>f'_{x_{2}}=\frac{x_{2}}{|\mathbf{x}|}</math>, |
- | <math> | + | <math>f'_{x_{3}}=\frac{x_{3}}{|\mathbf{x}|}</math> |
b) | b) | ||
- | <math> | + | <math>f'_{x_{1}}=2x_{1}</math>, |
- | <math> | + | <math>f'_{x_{2}}=2x_{2}</math>, |
- | <math> | + | <math>f'_{x_{3}}=2x_{3}</math> |
c) | c) | ||
- | <math> | + | <math>f'_{x_{1}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{1}}{|\mathbf{x}|}</math>, |
- | <math> | + | <math>f'_{x_{2}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{2}}{|\mathbf{x}|}</math>, |
- | <math> | + | <math>f'_{x_{3}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{3}}{|\mathbf{x}|}</math> |
Nuvarande version
a) \displaystyle f'_{x_{1}}=\frac{x_{1}}{|\mathbf{x}|}, \displaystyle f'_{x_{2}}=\frac{x_{2}}{|\mathbf{x}|}, \displaystyle f'_{x_{3}}=\frac{x_{3}}{|\mathbf{x}|}
b) \displaystyle f'_{x_{1}}=2x_{1}, \displaystyle f'_{x_{2}}=2x_{2}, \displaystyle f'_{x_{3}}=2x_{3}
c) \displaystyle f'_{x_{1}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{1}}{|\mathbf{x}|}, \displaystyle f'_{x_{2}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{2}}{|\mathbf{x}|}, \displaystyle f'_{x_{3}}=\frac{1}{1+|\mathbf{x}|}\; \frac{x_{3}}{|\mathbf{x}|}