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Derivation of P.D.F. from distribution function

Dhamnekar Win,odd
in Homework Help

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Author computed [math]F_{X_k} (x)[/math] as follows. but I don't understand it. Would any member explain me the following computations?

 

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  • Author

After studying these author's computations, I understood the differentiation part but I don't understand cancellation part and final term computation.

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