If y=(1+x)(1+x^2)(1+x^4)(1+x^8)(1+x^ 16 ) then what is dy dx at x=0 equal to?

NDA 2021 Mathematics question

y=(1+x)(1++++

then what is at equal to?

Answer: (B)

Multiply and divide by : , , and so on, giving . Then

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Question ID VK-033682