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Find the derivative of x^(n)+ax^(n-1)+a^...

Find the derivative of `x^(n)+ax^(n-1)+a^(2)x^(n-2)+…+a^(n-1)x+a^(n)` for some fixed real number a.

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The correct Answer is:
`nx^(n-1)+a(n-1)x^(n-2)+a^(2)(n-2)x^(n-3)+…+a^(n-1)`
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