Question on: JAMB Mathematics - 2010
If y = x sinx, find (\frac{dy}{dx})
A
sin x - x cosx
B
sinx + x cosx
C
sinx - cosx
D
sinx + cosx
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Correct Option: B
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
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