1. If function f is continuous at z = z₀, then f must be differentiable there.
(a) True   (b) False   .

2.  If f(z) = | z |², then for all z, f '(z) = 2z.
(a) True   (b) False   .

3. If f(z) = (iz + 2)², then f '(z) = 4i - 2z.
(a) True   (b) False   .

4. If f(z) = cos(z³), then f '(z) = - sin(z³).
(a) True   (b) False   .

Notes