Question 37

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Jambmaths question: 

Differentiate sin xx cos x

Option A: 

$x\cos x$

Option B: 

$\sin x$

Option C: 

$x\cos x$

Option D: 

$x\sin x$

Jamb Maths Solution: 

$\begin{align}  & y=\sin x-x\cos x \\ & \frac{dy}{dx}=\cos x-\underbrace{\left[ x(-\sin x)+\cos x(1) \right]}_{product\text{ }rule\text{ }in\text{ }use} \\ & \frac{dy}{dx}=\cos x+x\sin x-\cos x \\ & \frac{dy}{dx}=x\sin x \\\end{align}$

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