Ratkaise d/dt(sec^3(2t)-sec(2t))

$$\frac { d } { d t } ( \sec ^ { 3 } ( 2 t ) - \sec ( 2 t ) )$$

Laske

$$\frac{32\sin(2t)\left(\left(\sin(t)\right)^{4}+\left(\cos(t)\right)^{4}+\left(\sin(2t)\right)^{2}\right)}{-32\left(\sin(t)\right)^{2}\left(\cos(t)\right)^{6}-32\left(\cos(t)\right)^{2}\left(\sin(t)\right)^{6}+8\left(\sin(t)\right)^{8}+8\left(\cos(t)\right)^{8}+3\left(\sin(2t)\right)^{4}}$$

Derivoi muuttujan t suhteen

$$\frac{2\left(-88\left(\sin(t)\right)^{2}\left(\cos(t)\right)^{6}-88\left(\cos(t)\right)^{2}\left(\sin(t)\right)^{6}-13\left(\sin(2t)\right)^{4}+4\left(\sin(2t)\right)^{2}-4\right)}{5\left(\sin(t)\right)^{2}\left(\cos(t)\right)^{8}+10\left(\cos(t)\right)^{4}\left(\sin(t)\right)^{6}-5\left(\cos(t)\right)^{2}\left(\sin(t)\right)^{8}-10\left(\sin(t)\right)^{4}\left(\cos(t)\right)^{6}+\left(\sin(t)\right)^{10}-\left(\cos(t)\right)^{10}}$$