Exercise · ZW-HOLOMORPHIC-FUNCTION-008 · ★★☆ Intermediate
Compute \(f'(1)\) for \(f(z)=(z^2+1)^3\).
Choose one option.
Show answer
- C. \(24\)
Explanation
By the chain rule, \(f'(z)=3(z^2+1)^2\cdot2z\); at \(z=1\) it equals \(3\cdot4\cdot2=24\).
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 \(U\).
More practice problems: holomorphic function
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