2.2.49 Derivatives and differentials

condition: Calculate the derivatives \( y_{x}^{\prime} \) of the following functions: 1) \( 5 \sqrt[5]{x^{6}}+3 \tan x-2 \) 2) \( y=\frac{4-5 x}{5 x+3} \) 3) \( y=\cos ^{3}\left(\frac{x}{3}\right) \) 4) \( y=x \cdot \sin y-4 \) 5) \( \left\{\begin{array}{l}x=\ln (t+1)\\ y=\sqrt{(t+1)^{3}}\end{array}\right. \)