2.2.73 Derivatives and Differentials
Condition: Find private derivatives \ (\ frac {\ partial u} {\ partial x}, \ frac {\ partial u} {\ partial y}, \ frac {\ partial v} {\ partial x}, \ frac {\ patiental v} {\ partial y} \), if the functions \ (u \) and \ (v \) are implicitly as equal to \ (x = e^{u}+u \ sin v \), \ (y = e^{u} -u \ cos v \)
Calculation of derivatives and differentials of first and Higher Orders of Function of One and Many Varia Bybles, Including Partial Derivatives.