# How do you find the derivative of z= ((e^(t^2))+t) / (sin(2t))?

$\frac{\mathrm{dz}}{\mathrm{dt}} = \setminus \frac{\sin \left(2 t\right) \setminus \cdot \left({e}^{{t}^{2}} \setminus \cdot 2 t + 1\right) - \left({e}^{{t}^{2}} + t\right) \setminus \cdot 2 \cos \left(2 t\right)}{{\sin}^{2} \left(2 t\right)}$