Z = x * y ^ 2 + x ^ 2 * Yi determine the derivability and analyticity of F (z)

Z = x * y ^ 2 + x ^ 2 * Yi determine the derivability and analyticity of F (z)

Let f (z) = u + IV, where u = × 3-3xy, v = 3YX 2-y 3, the necessary conditions are derived from Cauchy Riemannian conditions? U V y and? U y = - V. u x = 62 + 3 y, u y = - 3x, v = 6xy? V y = 3x 2-3y 2 in order to satisfy Cauchy Riemannian conditions, six 2 + 3 y = 3x are needed

Derivation of Y by (3y-x) / (x + y) ^ 3
Derivation of (3y-x) / (x + y) ^ 3 whole to y

According to the fractional derivative formula, X is regarded as a constant
Derivation of original formula = [3 (x + y) ^ 2 times (3y-x) - 3 (x + y) ^ 3] / (x + y) ^ 6
=6（y-x）/(x+y)^4

Y = (x ^ 2-1) ^ 2 / 3, derivation
RT derivation
The process should be detailed

y'=2/3(x^2-1)^(-1/3)*2x
=(4x)/3(x^2-1)^(-1/3)