Correct Answer: Option D

Explanation

\(y = (2x + 5)^{2} (x - 4)\)

\(\frac{\mathrm d y}{\mathrm d x} = (2x + 5)^{2} (1) + (x - 4)(2)(2)(2x + 5)\)

= \((2x + 5)(2x + 5 + 4x - 16)\)

= \((2x + 5)(6x - 11)\)

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