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Find the derivative of the function given by f(x)=(1+x)(1+x2)(1+x4)(1+x8) and hence find f(1).

(1+x)(1+x2)(1+x4)(1+x8)(11+x+2x1+x2+4x31x4+8x71x8),f(1)=60(1+x)(1+x2)(1+x4)(1+x8)(11+x+2x1x2+4x31+x4+7x71+x8),f(1)=120(11+x+2x1+x2+4x31+x4+8x71+x8),f(1)=240(1+x)(1+x2)(1+x4)(1+x8)(11+x+2x1+x2+4x31+x4+8x71+x8),f(1)=120

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