Use the definition to (4 × 5 = 20)

(a) show that f(z) = 2zz ̄ − 5z + 6 ̄z is not differentiable at z = 0.

(b) show that f(z) = 3z

2 + 4z − 5 is differentiable at all points.

(c) find the derivative of f(z) = 8

z

2

at z = 6 + 4i.

(d) find the derivative of f(z) = 8z − 5

5z + 8i

at z = i.

asked by guest
on Mar 28, 2025 at 10:53 am



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