m $f\left(t\right)$ 0 $\frac{-16\sqrt{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 1 $-2\sqrt{2}\cdot \frac{4-{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 2 $\frac{4\sqrt{2}{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 3 $2\sqrt{2}\cdot \frac{4+3{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 4 $8\sqrt{2}\cdot \frac{2+{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 5 $2\sqrt{2}\cdot \frac{12+5{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 6 $4\sqrt{2}\cdot \frac{8+3{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 7 $2\sqrt{2}\cdot \frac{20+7{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 8 $16\sqrt{2}\cdot \frac{3+{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 9 $2\sqrt{2}\cdot \frac{28+9{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 10 $4\sqrt{2}\cdot \frac{16+5{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 11 $2\sqrt{2}\cdot \frac{36+11{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$ 12 $8\sqrt{2}\cdot \frac{10+3{\left({e}^{t}-{e}^{-t}\right)}^{2}}{{\left({e}^{t}+{e}^{-t}\right)}^{4}}$