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PUCET (Punjab) Second Derivative — practice questions

Explore 1 free Second Derivative questions in PUCET (Punjab) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Second Derivative questions and exercises with answers

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If $y = x \sin x$, then $y_2 = \dfrac{d^2y}{dx^2}$ equals:Read the answer and worked solution →

Worked practice questions

If $y = x \sin x$, then $y_2 = \dfrac{d^2y}{dx^2}$ equals:

  1. $-x\sin x$
  2. $x\cos x$
  3. $2\cos x - x \sin x$
  4. $\cos x + \sin x$
Show answer and solution

Correct answer: C. $2\cos x - x \sin x$

$y' = \sin x + x\cos x$. $y'' = \cos x + \cos x + x(-\sin x) = 2\cos x - x\sin x$.

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