Answer
$$\frac{d}{dx}((ax+b)(abx^2+1))=a(abx^2+1)+2abx(ax+b).$$
Work Step by Step
By using the product rule, we have
$$\frac{d}{dx}((ax+b)(abx^2+1))=a(abx^2+1)+2abx(ax+b).$$
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