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If y = x sinx, find dy/dx when x = π/2.

Mathematics
JAMB 2001

If y = x sinx, find dy/dx when x = π/2.
  • A. -π/2
  • B. -1
  • C. 1
  • D. π/2
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Correct Answer: Option C
Explanation
y = x sin x
dy/dx = 1 x sinx + x cosx
= sinx + x cosx
At x = π/2, = sin (π/2) + (π/2) cos (π/2)
= 1 + (π/2) x (0) = 1

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
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WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts