chain_rules
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| chain_rules [2026/03/10 22:09] – [e.g.] hkimscil | chain_rules [2026/05/05 23:18] (current) – [Chain rules] hkimscil | ||
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| Line 9: | Line 9: | ||
| \therefore{ \;\; } \frac {dy}{dx} & = & f' | \therefore{ \;\; } \frac {dy}{dx} & = & f' | ||
| \end{eqnarray*} | \end{eqnarray*} | ||
| + | how to read dy/dx : | ||
| + | * derivation of y with respect of x | ||
| + | * y를 x에 대해서 미분 | ||
| + | 따라서 위는 | ||
| + | * y를 t에 대해서 미분하고 | ||
| + | * t를 x에 대해서 미분한다 라고 읽는다 | ||
| + | |||
| ====== E.g ====== | ====== E.g ====== | ||
| Line 67: | Line 74: | ||
| & = & (2 * \text{residual}) * \dfrac{y - (a + b * x)} {\text{d.b}} \\ | & = & (2 * \text{residual}) * \dfrac{y - (a + b * x)} {\text{d.b}} \\ | ||
| & = & 2 * \text{residual} * -x \\ | & = & 2 * \text{residual} * -x \\ | ||
| - | & = & -2 * x * \text{residual} \\ | + | & = & -2 x * \text{residual} \\ |
| - | & = & -2 * x * (y - (a + b * x)) \\ | + | & = & -2 x * (y - (a + b * x)) \\ |
| - | & = & -2 * x * (y - \widehat{y}) \\ | + | & = & -2 x * (y - \widehat{y}) \\ |
| \end{eqnarray*} | \end{eqnarray*} | ||
| + | |||
chain_rules.1773180568.txt.gz · Last modified: by hkimscil