Question

$$\frac{7^{n+1}\times7n^{2}-1}{7n^{2}-n\times7^{2n+2}}$$

Evaluate

$\frac{49n^{2}\times 7^{n}-1}{7n\left(n-7\times 49^{n}\right)}$

Differentiate w.r.t. n

$\frac{-n^{2}\times 343^{n+1}+49\ln(7)n^{4}\times 7^{n}+\ln(7)n^{3}\times 343^{n+1}-14\ln(7)n\times 49^{n}-7\times 49^{n}+2n}{7\left(n\left(n-7^{2n+1}\right)\right)^{2}}$