2.2.19 Derivatives and differentials

Problem: Find derivatives \( \frac{d y}{d x} \) and \( \frac{d^{2} y}{d x^{2}} \) for the given functions: 1. \( y=\ln \cot 2 x \). 2. \( x=t^{3}+8 t, y=t^{5}+2 t \).