If g(x)=(x^2+2x+1) f(x) such that f(0)=5 and _ x 0 f(x)-5 x =4 then g'(0)=

MHT CET 2026 Mathematics question

If such that and then

Answer: (D)

Since , the limit . Now , so $g'(0)=2f(0)+1·

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Question ID VK-100485