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COMPARISON ON CALCULUS OF REAL AND COMPLEX NUMBERSObj. #3(THIS IS THE OBJECTIVE YOU NEED TO COMPLETE) The
aim of this objective is to compare the complex functions and real
functions from differentiation and analyticity perspective.– Check with the interpretations of a derivative of a function.– Check with complex version of some real functions and see whether their differentiabilitychanges and how.– Check if any complex functions can be differentiated with a shortcut formulas, likein the real case.– Check from the higher order derivatives of a function perspective.– Check from analyticity of a function at a point perspective.– Check from a direct application of an analytic function (analytic function is also aconformal map). You can use solving Laplace’s equation.Write a report on Obj. #3, about 6 – 7 pages with proper citations, and on a separate page(s) the references (only the ones used in the report), in an MS Word file.
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