7. Determine which of the following functions are differentiable at all the z-plane or some region of it and evaluate the derivatives if they exist. (a) f(z) = x² + y² + 12xy. (b) |=-(2+i)1².
7. Determine which of the following functions are differentiable at all the z-plane or some region of it and evaluate the derivatives if they exist. (a) f(z) = x² + y² + 12xy. (b) |=-(2+i)1².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7. Determine which of the following functions are differentiable at all the z-plane or some region of it and
evaluate the derivatives if they exist.
(a) f(2) = x² +y² + i2ry.
(b) |z – (2+ i)|?.
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