Thread: totoal differential of complex function

f(z)=z(bar(z))^2+2(bar(z))z^2 ,then calculate the total differential of f viewed as a map from R^2->R^2 . determine the points at which f is complex differentiable , is f holomorhpic anywhere????

what does it mean view as a map from R^2->R^2. how to calculate the total differential

f(x,y)=(x^2+y^2)(3x, y)
And calculate its Jacobian

i did the first part and for secund part i use the Jocobian ,for if it is differentiable then if follow the cachy rieman equations which is 9x^2+3y^2=x^2+3y^2, and 6xy=-2xy the solution for the equation systems is x=o y is real , so it can be differentiable at (o,y) y is real number ,does it right??? if it is ,then How should i found holomorphic anywhere???