Verify expression (14), Sec. 39, for the derivative of Z(Ï) = z[Ï(Ï)]. Z'(Ï ) = z '[Ï(Ï)]Ï'(Ï

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Verify expression (14), Sec. 39, for the derivative of Z(τ) = z[φ(τ)].
Z'(τ ) = z '[φ(τ)]φ'(τ )
enables us to write expression (13) as
Verify expression (14), Sec. 39, for the derivative of Z(Ï„)

Thus the same length of C would be obtained if representation (10) were to be used.
If equation (2) represents a differentiable arc and if z'(t) ‰  0 anywhere in the interval a

Verify expression (14), Sec. 39, for the derivative of Z(Ï„)
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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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