Step 1
A function is said to be analytic when Cauchy-Riemann equations are satisfied.
The Cauchy-Riemann equations are satisfied when .
The given function is
Rewrite the given function as follows.
=x-iy
Here u(x,y)=x and v(x,y)=-y.
Step 2
Evaluate as follows.
=1
Thus, .
Evaluate as follows.
=0
Thus, .
Step 3
Evaluate as follows.
=0
Thus, .
Evaluate as follows.
=-1
Thus, .
Clearly, . So, the function did not satisfy Cauchy-Riemann equations.
Therefore, the given function is not analytic.