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Problem in Plot at start

The derivative can be used to calculate roots. However the same function cannot be plotted.The error is at start point of domain: ...
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Mapping also for one element (or telling it how to do so if head got changed)

Some code generates a polynomial, and has the form: expr = Plus[a[i],b[i],c[i],d[i]] I need to apply f to each term. To do ...