Differentiation - Power Rule and Derivatives of Algebraic Functions

Differentiation - Power Rule and Derivatives of Algebraic Functions

IP 4

Find \(\frac{\mathrm{d}}{\mathrm{d}x}\left[(x-1)(x+1)(x^2+1)(x^4+1)(x^8+1)(x^{16}+1) \dots (x^{1024}+1)\right]\)

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Answer:\(2048x^{2047}\)

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