Differentiate 1/(ax^2+bx+c) with respect to x.
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Let f(x)ax2+bx+c1
Thus by quotient rule
f′(x)=(ax2+bx+c)2(ax2+bx+c)dxd(1)−dxd(ax2+bx+c)
=(ax2+bx+c)2(ax2+bx+c)(0)−(2ax+b)=(ax2+bx+c)2−(2ax+b)
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