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Find the derivative of the function give...

Find the derivative of the function given by `f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8)`and hence find `f^(prime)(1)`.

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The correct Answer is:
`(1+x)(1+x^2)(1+x^4)(1+x^8)[(1)/(1+x)+(2x)/(1+x^2)+(4x^3)/(1+x^4)+(8x^7)/(1+x^8)]; f'(1)=120`
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