y=(1+x)(1+x^2)(1+x^4) (1+x^ 2n ), then the value of dy dx at x = 0 is

MHT CET 2023 Mathematics question

, then the value of at x = 0 is

Answer: (C)

Take logarithms: . Differentiate: . At all terms except the first vanish (each has a factor of a positive power of ), giving

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Question ID VK-097497