For each of the following fuu.ctions, determine entire alefinition Ayea: the derivatives on (a) f :C→ C, f(z) := a² (a € R> ); (b) f : C → C, f (2) := sin z; (c) f :C→ C, f(2) := z*e*; (d) f : (0,+0) → R, f(x):= (x")".

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For each of the following functions, deter mine
entive adefinition Ayea:
the derivatives
on
(a) f : C → C, f(z) := a²
(a e R> fest);
(b) f : C → C, f(2) := sin z;
-
(c) f : C → C, f(2) := zªe%;
(d) f : (0,+∞) –→ R, f(x) := (x²)".
Transcribed Image Text:For each of the following functions, deter mine entive adefinition Ayea: the derivatives on (a) f : C → C, f(z) := a² (a e R> fest); (b) f : C → C, f(2) := sin z; - (c) f : C → C, f(2) := zªe%; (d) f : (0,+∞) –→ R, f(x) := (x²)".
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