Teaching GATE Chemistry Previous Year Pack Mathematics Mathematics Group theory

Which of the following pairs of operators commute?

1
x and \(\dfrac{d}{dx}\)
2
\(\dfrac{d}{dx}\) and \(\dfrac{d^2}{dx^2}+\dfrac{2d}{dx}\)
3
\(x^2\dfrac{d}{dx}\) and \(\dfrac{d^2}{dx^2}\)
4
x3 and \(\dfrac{d}{dx}\)
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