5. y/x = tanv, v = arctan(y/x), x^2+y^2 = e^(2u), u = (1/2)ln(x^2+y^2) z = uv = (1/2)ln(x^2+y^2) arctan(y/x) z' = [x/(x^2+y^2)]arctan(y/x) - (1/2)[y/(x^2+y^2)]ln(x^2+y^2) z' = [y/(x^2+y^2)]arctan(y/x) + (1/2)[x/(x^2+y^2)]ln(x^2+y^2)