Differentiate \((2x+5)^{2} (x-4)\) with respect to x.
- 4(2x+5)(x-4)
- 4(2x+5)(4x-3)
- (2x+5)(2x-13)
-
(2x+5)(6x-11)
The correct answer is: 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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