The function f (z) = |z|2 – ž is differentiable at a single point in C. Find that point and prove that the derivative exists there. Prove that the derivative does not exist at any other point. Compute...

Extracted text: The function f (z) = |z|2 – ž is differentiable at a single point in C. Find that point and prove that the derivative exists there. Prove that the derivative does not exist at any other point. Compute the integral J_0 x++4 o x-cos(x) dx by the Residue Theorem. For full credit, you must show all calculations. You may use Jordan's Lemma, but show how you use it and cite it.