Faà di Bruno's Formula/Example

Examples of use of Faà di Bruno's Formula

Example: $n = 0$

$D_x^0 w = w$


Example: $n = 1$

$D_x^1 w = D_u^1 w D_x^1 u$


Example: $n = 2$

$D_x^2 w = D_u^2 w \paren {D_x^1 u}^2 + D_u^1 w D_x^2 u$
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