Complex Analysis: Theory and Applications · Problem 5.4.7

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · complex-trig-derivatives

Problem

Find the derivatives of the following and state where they are defined. (a) sin⁡(1z)\sin\left(\dfrac{1}{z}\right). (b) ztan⁡zz \tan z. (c) sec⁡z2\sec z^2. (d) zcsc⁡2zz \csc^2 z. (e) zsinh⁡zz \sinh z. (f) cosh⁡z2\cosh z^2. (g) ztan⁡zz \tan z.

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