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Let y = 1 + (a(1))/(x - a(1)) + (a(2) x)...

Let `y = 1 + (a_(1))/(x - a_(1)) + (a_(2) x)/((x - a_(1))(x - a_(2))) + (a_(3) x^(2))/((x - a_(1))(x - a_(2))(x - a_(3))) + … (a_(n) x^(n - 1))/((x - a_(1))(x - a_(2))(x - a_(3))..(x - a_(n)))` Find `(dy)/(dx)`

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The correct Answer is:
`[(dy)/(dx) = (y)/(x) [(a_(1))/(a_(1) - x) + (a_(2))/(a_(2) - x) + (a_(3))/(a_(3) - x) +……+ (a_(n))/(a_(n) - x)]]`
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