- #1
- 376
- 0
Homework Statement
show that the function f(z)=zRe(z) is only differentiable at the origin.
im completely lost with is, its probably very easy.. but dont know how to start.
f(x+iy)=x+iy*Re(z)=x(x+iy)??? idk
So far so good, now what are the real and imaginary parts, [itex]u(x,y)[/itex] and [itex]v(x,y)[/itex], of this expression? What conditions must the partial derivatives of [itex]u(x,y)[/itex] and [itex]v(x,y)[/itex] satisfy for f(x+iy) to be differentiable?im completely lost with is, its probably very easy.. but dont know how to start.
f(x+iy)=x+iy*Re(z)=x(x+iy)???