class template errors out

ALL,

In my header file I have:

template<class T> __declspec(dllexport) MyClass : public MyBaseClass
{
public:
    template <class T>MyClass(T obj);
    ~MyClass();
};

In my .cpp file I have:

template<class T> __declspec(dllexport) MyClass::MyClass( T obj ) : MyBaseClass()
{
    // body of the constructor
}

MyClass::~MyClass()
{
}

This code errors out on MSVC 2017. MyBaseClass is not a template class.

So I have 2 questions:

1. It shouldn't be necessary to templatize every function in the template class. But removing template<class T> from the constructor in both .h and .cpp generate an error.
2. What is the best way to fix an error? Should the base class be a template class as well?