If u(x.y) and v(x.y) are differentiable, than, is it necessary that f(z)=u(xy)+iv(x.y) is also differentiable? Explain your answer.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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If u(x.y) and v(x.y) are differentiable, than, is it necessary that
f(z)=u(xy)+iv(x.y) is also differentiable? Explain your answer.

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