Faà di Bruno's Formula/Example
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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: $n = 2$
- $D_x^2 w = D_u^2 w \paren {D_x^1 u}^2 + D_u^1 w D_x^2 u$