Correct Answer: Option B

Explanation

If y = x sinx, then

Let u = x and v = sinx

\(\frac{du}{dx}\) = 1 and \(\frac{dv}{dx}\) = cosx

Hence by the product rule,

\(\frac{dy}{dx}\) = v \(\frac{du}{dx}\) + u\(\frac{dv}{dx}\)

= (sin x) x 1 + x cosx

= sinx + x cosx

There is an explanation video available below.

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