12/12.14 Vector Analysis

Condition: The scalar field is determined by the function \ (\ varphi = \ tan^{-1} \ frac {2 x+z^{2}} {x^{2}+y^{2}} \). Find its gradient at point \ (m (0.1.1) \) and build the level surfaces for: \ (\ varphi = \ pm \ frac {\ pi} {4}, \ varphi = \ pm \ frac {\ pi} {6} \).