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Differentiate \((2x+5)^{2} (x-4)\) with respect to x.

Mathematics
JAMB 2001

Differentiate \((2x+5)^{2} (x-4)\) with respect to x.

  • A. 4(2x+5)(x-4)
  • B. 4(2x+5)(4x-3)
  • C. (2x+5)(2x-13)
  • D. (2x+5)(6x-11)
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Correct Answer: Option D
Explanation

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

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

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

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

There is an explanation video available below.


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Explanation Video

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