If f(x)= k x+2 x x+ x is strictly increasing for all real x, then

MHT CET 2025 Mathematics question

If is strictly increasing for all real x, then

Answer: (D)

. Expanding the numerator: \sin\cos\cos^2\sin^2\sin\cos\sin\cos\sin^2\cos^2\sin\cos$

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Question ID VK-101839