2.2.78 Derivatives and Differentials

Condition: Calculate the values of private derivatives \ (f_ {x}^{\ prime} \ left (m_ {0} \ right), f_ {y}^{\ prime} \ left (m_ {0} \ right) f_ {z}^{\ prime} \ left (m_ {0} \ right) \) for this function \ (f (x, y, z) \) at the point \ (m_ {0} \ left (x_ {0}, y_ {0}, z_ {0} \ right) \) with an accuracy of two signs after aim. \ [f (x, y, z) = 27 \ sqrt [3] {x+y^{2}+z^{3}}, \ quad m_ {0} (3.4,2) \]