If y = x Sin x, find (frac{dy}{dx}) when x = (frac{pi}{2})

If y = x Sin x, find (frac{dy}{dx}) when x = (frac{pi}{2})

Correct Answer: Option C

Explanation

y = xsinx
(frac{dy}{dx}) = (1 sin x + x cos x)
= (sin x + x cos x)
At x = (frac{pi}{2})
= sin(frac{pi}{2}) + (frac{pi}{2} cos {frac{pi}{2}})
= 1 + (frac{pi}{2}) × 0
= 1

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