Suggest the complex function f(z) = ln(z). (a) Write f(z) as u + iv. (b) Show that f(z) satis es the Cauchy-Riemann relations. (c) Find df=dz by calculating along the real direction. (d) Find df=dz by calculating along the imaginary direction and show that they are the same. (e) Re-write either of the two previous answers in terms of z. Do you get what you expect? Note: This is not a math 105 class, they do not have the course Mathematics for Physicists on here