- #1
wany
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Homework Statement
Suppose that [tex]f(z)=(z-1)(z-4)^2.[/tex] Find the lines through z=2 on which |f(z)| has a relative maximu, and those on which |f(z)| has a relative minimum, at z=2.
Homework Equations
Maximum Modulus Theorem And Minimum Modulus Theorem
The Attempt at a Solution
So I know that f(z) is not differentiable at z=1. So I could take the domains (-5,1) and (5,1). Since we know that the maximum and minimum must be located on the boundary of the domain.
However, I am not sure how to do this or if this is right.