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If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)

Mathematics
JAMB 1992

If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)

  • A. 2 cosx - x sinx
  • B. sinx + x cosx
  • C. sinx - x cosx
  • D. x sinx - 2 cosx
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Correct Answer: Option A
Explanation

\(y = x \sin x\)

\(\frac{\mathrm d y}{\mathrm d x} = x \cos x + \sin x\)

\(\frac{\mathrm d^{2} y}{\mathrm d x^{2}} = x (- \sin x) + \cos x + \cos x\)

= \(2 \cos x - x \sin x\)


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Post UTME Past Questions Agent
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now