Question
Differentiate the following functions with respect to x:$\frac{1}{\text{ax}^2+\text{bx}+\text{c}}$
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| Column I | Column II | ||
| $(a)$ | $1^2+2^2+3^2+....+\text{n}^2$ | $(i)$ | $\Big[\frac{\text{n}(\text{n}+1)}{2}\Big]^2$ |
| $(b)$ | $1^3+2^3+3^3+....\text{n}^3$ | $(ii)$ | $\text{n}(\text{n}+1)$ |
| $(c)$ | $2+4+6+....+2\text{n}$ | $(iii)$ | $\frac{\text{n}(\text{n}+1)(2\text{n}+1)}{6}$ |
| $(d)$ | $1+2+3+....\text{n}$ | $(iv)$ | $\frac{\text{n}(\text{n}+1)}{2}$ |