(4) Fix a € C\{0,1}, and let F = {fe Hol(D) | f(D) C C\{0,1}, f(0) = a}. PƒeƑ |ƒ'(0)| < ∞. [Hint: lift, and use the Schwarz.] Prove that sup

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 34E
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(4) Fix a € C\{0,1}, and let
F = {f € Hol(D) | ƒ(D) C C\{0,1}, ƒ(0) = a}.
Prove that supfer [ƒ'(0)| < ∞. [Hint: lift, and use the Schwarz.]
Transcribed Image Text:(4) Fix a € C\{0,1}, and let F = {f € Hol(D) | ƒ(D) C C\{0,1}, ƒ(0) = a}. Prove that supfer [ƒ'(0)| < ∞. [Hint: lift, and use the Schwarz.]
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