2.2.73 Derivatives and differentials
condition: Find partial derivatives \( \frac{\partial u}{\partial x}, \frac{\partial u}{\partial y}, \frac{\partial v}{\partial x}, \frac{\partial v}{\partial y} \), if the functions \( u \) and \( v \) are defined implicitly by the equalities \( x=e^{u}+u \sin v \), \( y=e^{u}-u \cos v \)
Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.