Answered: 3. Let f(z) = sin z where z € C.…

3. Let f(z) = sin z where z € C. Determine where f is differentiable and show that f'(z) = = - cos x cosh y + i sin x sinh y. Is f analytic? Justify your answer.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 45E

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3. Let f(z) = sin z where z € C. Determine where f is differentiable and show that f'(z) = = - cos x cosh y + i sin x sinh y.
Is f analytic? Justify your answer.

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