2.2.79 Derivatives and differentials
condition: Find the derivatives \( d y / d x \) of these functions. a) \( y=x^{2} \sin 3 x \) b) \( \left\{\begin{array}{l}y=t+\arctan 2 t \\ x=t^{3}-6 \arctan t\end{array}\right. \) for \( t=1 \) c) \( y=\left(\tan x^{3}\right)^{\ln 4 x} \).
Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.