Problem 6: Differentiability. Show that Re(z) is nowhere differentiable. Let f(z) = z3 + 1 and let z1 = (-1+√3i)/2, z2 = (-1-√3i)/2. Show that there is no point w on the line segment between z1 and z2 where the function f(z) is holomorphic.

Which of the following statements is true?

A. Re(z) is differentiable at every point.
B. Re(z) is differentiable at some points.
C. Re(z) is differentiable at no points.
D. Re(z) is differentiable at all points.