Which of the following recurrence relation is true?

1
\(2J_\nu^{\prime}(x)=J_{\nu-1}(x)+J_{\nu+1}(x) \ \ \)
2
\(2\nu J_\nu^{\prime}(x)=J_{\nu-1}(x)-J_{\nu+1}(x) \ \ \)
3
\(2\nu J_\nu^{\prime}(x)=J_{\nu-1}(x)+J_{\nu+1}(x) \ \ \)
4
\(2J_\nu^{\prime}(x)=J_{\nu-1}(x)-J_{\nu+1}(x) \ \ \)

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