Solve frac{sqrt[4]{3n^3+1}-n}{sqrt{2n^4+3n+1}+n}

$$\frac { \sqrt[ 4 ] { 3 n ^ { 3 } + 1 } - n } { \sqrt { 2 n ^ { 4 } + 3 n + 1 } + n }$$

Evaluate

$$\frac{-n+\sqrt[4]{3n^{3}+1}}{\sqrt{2n^{4}+3n+1}+n}$$

Differentiate w.r.t. n

$$\frac{8\left(3n^{3}+1\right)^{\frac{3}{4}}n^{4}-30n^{6}-3\sqrt{2n^{4}+3n+1}n^{3}-6n\left(3n^{3}+1\right)^{\frac{3}{4}}-7n^{3}-4\left(3n^{3}+1\right)^{\frac{3}{4}}-4\sqrt{2n^{4}+3n+1}+9n^{2}-6}{4\sqrt{2n^{4}+3n+1}\left(3n^{3}+1\right)^{\frac{3}{4}}\left(\sqrt{2n^{4}+3n+1}+n\right)^{2}}$$