Exercise · ZW-HOLOMORPHIC-FUNCTION-005 · ★★☆ Intermediate
Compute \(f'(i)\) for the holomorphic function \(f(z)=z^2+3z\).
Choose one option.
Show answer
- A. \(3+2i\)
Explanation
\(f'(z)=2z+3\), so \(f'(i)=2i+3\).
Review the concept: Holomorphic function
A complex function \(f\) is holomorphic on an open set \(U\) of the plane if it is complex differentiable at every point of \(U\).
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