How do you find points that make a complex function non analytic?

To find points that make a complex function non-analytic, you need to identify where the function is not differentiable. This typically occurs at points where the function is not defined, where it has discontinuities, or where the Cauchy-Riemann equations are not satisfied. Additionally, check for singularities, such as poles or essential singularities, which also indicate non-analytic behavior. Analyzing these aspects will help you locate non-analytic points in the function's domain.