2.2.71 Derivatives and differentials
condition: Calculate derivatives. a) \( y=\arcsin \frac{\sqrt{x}-2}{\sqrt{3} x} \) b) \( y=\frac{\left(1+x^{2}\right) \sqrt{1-x^{2}}}{30 x^{3}} \) c) \( y=2 \sqrt{x}-4 \ln (2+\sqrt{x}) \)
Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.