Recall the polar form of the Cauchy-Riemann Equations: 1 ƏV 1 ƏU r +0. r d0 av ar dr -i0 (0 + i). Let f(z) = z45. Use av dr The derivative can be recovered by f'(z) : the polar form of C-R equations to prove that f has a derivative at all non-zero points and show that f'(z) = 45z44. = e ar

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A: We can solve this as follows:

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Q: 2dy -2y 2. zt at

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