Diffrentiate w.r.t x :
$y = e^{2 x} (a + b x)$

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Solution

differentiate $y = e^{2 x} (a + b x)$ w.r.t x
$\frac{d y}{d x} = e^{2 x} (b) + (a + b x) 2 e^{2 x}$
$= b e^{2 x} + 2 e^{2 x} (a + b x)$
$= e^{2 x} [b + 2 a + 2 b x]$

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