Question 13

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Jambmaths question: 

Find the derivative of $(2+3x)(1-x)$with respect to x

Option A: 

6

Option B: 

–3

Option C: 

1–6x

Option D: 

6x – 1

Jamb Maths Solution: 

$\begin{align}  & y=(2+3x)(1-x) \\ & \frac{dy}{dx}=U\frac{dv}{dx}+V\frac{du}{dx} \\ & \frac{dy}{dx}=(2+3x)\frac{d}{dx}(1-x)+(1-x)\frac{d}{dx}(2+3x) \\ & \frac{dy}{dx}=-2-3x+3-3x \\ & \frac{dy}{dx}=1-6x \\\end{align}$

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