
2.2.60 Derivatives and differentials
condition: Find the first \( d y / d x \) and second \( \left(d^{2} y\right) /\left(d x^{2}\right) \) derivatives of the function specified parametrically. \[ \left\{\begin{array}{l} x=3 t^{2}+2 t \\ y=2 t^{2}-3 t^{3} \end{array}\right. \]
Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.