# Differentiable function/D in R/Rules/Fact

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Let be a subset, a point, and

functions which are differentiable in . Then the following rules for differentiability holds.

- The sum is differentiable in , with
- The product is differentiable in , with
- For
,
also is differentiable in , with
- If has no zero in , then is differentiable in , with
- If has no zero in , then is differentiable in , with