Last Updated：2025/12/31
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If f(x) is a polynomial or a power series then its derivative can be obtained “automatically” using dual numbers as follows: f'(x)=f(x+𝜀)-f(x)/𝜀 where f(x+𝜀) should be expanded using the algebra of dual numbers. The role of the ε is therein similar to that of an infinitesimal.
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