Can the domain of f'(x) be larger than the domain of f(x)?(adsbygoogle = window.adsbygoogle || []).push({});

Here's my work, as per the rules

The problem I'm working on states

f(x) = x + √x

and says to find f'(x), the domain of f(x), and the domain of f'(x).

I found that f'(x)=1, so I want to say that its domain is all real numbers. But the domain of f(x) is only (0, ∞).

Hence my question in the first line.

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# Domain of a derivative

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