2.2.77 Derivatives and differentials

\( \underline{\text { Condition: }} \) Find derivatives. a) \( y=\frac{1}{\sqrt{4-3 x}}+\frac{x}{\sqrt[4]{x^{3}+5}} \), b) \( y=\sqrt[3]{\cot ^{2} \frac{x}{3}} \) c) \( y=\ln \sqrt[5]{\frac{10}{e^{6 x}-e^{-6 x}}} \), d) \( y=\frac{1}{9} \operatorname{arccot} \frac{9}{x} \), e) \( x^{2} \cdot \sin 2 y-y^{2} \cos 2 x=10 \), f) \( \left\{\begin{array}{c}x=\ln \cos ^{2} 2 t \\ y=\sin ^{2} 2 t\end{array}\right. \).