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Differentiate |x|+a(0)x^(n)+a(1)x^(n-1)+...

Differentiate `|x|+a_(0)x^(n)+a_(1)x^(n-1)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n)`

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The correct Answer is:
`(x)/(|x|)+na_(0)x^(n-1)+(n-1)a_(1)x^(n-2)+(n-2)a_(2)x^(n-3)+...+a_(n-1)1`
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