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Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $\large\frac{1}{ax^2+bx+c}$

1 Answer

Let $f(x) = \large\frac{1}{ax^2+bx+c}$
By quotient rule,
$ f'(x) = \large\frac{(ax^2+bx+c)\large\frac{d}{dx}(1)-\large\frac{d}{dx}(ax^2+bx+c)}{(ax^2+bx+c)^2}$
$ = \large\frac{(ax^2+bx+c)(0)-(2ax+b)}{(ax^2+bx+c)^2}$
$ = \large\frac{-(2ax+b)}{(ax^2+bx+c)^2}$
answered Apr 12, 2014 by thanvigandhi_1

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