#18-( d/dx),( id/dx), (d/dr), (xd/dx) are hermitian or not ?

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( d/dx),( id/dx), (d/dr), (xd/dx) are hermitian or not ? csir ,gate ,jest,jam exams
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Why in 13:47 the voloume element is is only r^2dr not the radial terms ?
Please give some detail explanation

ArchismanGupta