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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