Home » If y = x sin x, find (frac{delta y}{delta x})

If y = x sin x, find (frac{delta y}{delta x})

If y = x sin x, find (frac{delta y}{delta x})
  • A.
    sin x – cos x
  • B.
    cos x – x sin x
  • C.
    cos x + x sin x
  • D.
    sin x + x cos x
Correct Answer: Option D
Explanation

y = x sin x
Where u = x and v = sin x
Then (frac{delta u}{delta x}) = 1 and (frac{delta v}{delta x}) = cos x
By the chain rule, (frac{delta y}{delta x} = vfrac{delta u}{delta x} + ufrac{delta v}{delta x})
= (sin x)1 + x cos x
= sin x + x cos x

There is an explanation video available below.

Explanation Video

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