Question on: JAMB Mathematics - 2017
If y = x Sin x, find (\frac{dy}{dx}) when x = (\frac{\pi}{2})
A
\(\frac{- \pi}{2}\)
B
-1
C
1
D
\(\frac{ \pi}{2}\)
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Correct Option: C
y = xsinx
(\frac{dy}{dx}) = (1 \sin x + x \cos x)
= (\sin x + x \cos x)
At x = (\frac{\pi}{2})
= sin(\frac{\pi}{r}) + (\frac{\pi}{2} \cos {\frac{\pi}{2}})
= 1 + (\frac{\pi}{2}) × 10
= 1
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