If f(1) = 1, f'(1) = 5, then the derivative of f (f (f(x) ) )+ (f(x) )^2 at x = 1 is

MHT CET 2024 Mathematics question

If f(1) = 1, f'(1) = 5, then the derivative of at x = 1 is

Answer: (C)

By the chain rule, and . At : so , and every inner function equals 1. Hence the first part is $f'(1)· f'(1)·

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Question ID VK-099899