If y = [(x+1)(2x+1)(3x+1) (nx+1) ]^ 2 , then dy dx at x = 0 is

MHT CET 2024 Mathematics question

If , then at is

Answer: (B)

Let so that and . At every factor equals 1, so . By logarithmic differentiation, , which at equals .

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Question ID VK-098955