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# Continuous functions and derivatives?

A function has a derivative in all of the domain. Is the derivative a continuous function?

Update:

Thx for the help but I what meant is if f' continuous? not f.

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- 8 years agoFavorite Answer
In order for a function to be differentiable (you can take the derivative of it), it must be continuous. So if the function has a derivative over its whole domain, it is always continuous.

Source(s): 2nd year of taking AP Calculus - draheimLv 44 years ago
Hmm. lacking derivatives at some particular factor, particular. lacking any derivatives in any respect? i do no longer think of so. y = (absolute value of x) is a V-shaped graph that would desire to lack a spinoff at x=0, because of the fact the slope may be -a million coming from the left and +a million coming from the appropriate.

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