If f(1) = 1, f'(1) = 3, then the derivative of f(f(f(x)))+(f(x))^2 at x = 1 is

MHT CET 2023 Mathematics question

If f(1) = 1, f'(1) = 3, then the derivative of at x = 1 is

Answer: (D)

By the chain rule, and . At : , so and . Hence , , . The

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Question ID VK-094795