ADTs implemented with dynamic data structures

So my professor told us in class that "Abstract Data Types implemented with dynamic data structures almost always require the redefinition of three particular member functions of the class." He wanted us to find out the three functions for homework and for each one describe what could go wrong....Can anyone help?
To me those would be Insert, Delete, and append; like append to a tail. This assuming this is coming for a stand points of managing arrays.
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The dynamic part of the question suggests to me he means, destructor, copy constructor and operator= but its just a guess.
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