
2.2.33 Derivatives and differentials
Condition: Find the total differential of this function. \[ \begin{array}{l} z=\arcsin (x-y)-y \sin \left(1+x^{2}\right)+ \\ +\sqrt{1-y}+\tan x \end{array} \]
Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.