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

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

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To find the derivative of the function \[ f(x) = x^n + a x^{n-1} + a^2 x^{n-2} + \ldots + a^{n-1} x + a^n \] where \( a \) is a fixed real number, we will differentiate each term of the function separately. ### Step-by-Step Solution: ...
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