COMPLEX ANALYSIS QUESTION PLEASE ANSWER ALL QUESTIONS DERIVATIVES Let f be a function whose domain of definition contains a neighborhood |2-Zol < of a point zo. The derivative of f at zo is the limit (1) f(zo) - lim 1(2)-f(20) z-Zo and the function f is said to be differentiable at zo when f'(o) exists. 1. Use the definition of a derivative to show that f'(z) = 2: for all z € C, if f(2)= 2² +1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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COMPLEX ANALYSIS QUESTION
PLEASE ANSWER ALL QUESTIONS
DERIVATIVES
Let f be a function whose domain of definition contains a neighborhood |z-Zol < of
a point zo. The derivative of f at zo is the limit
(1)
f'(zo) = lim
ƒ(z) - ƒ (zo)
z - Zo
and the function f is said to be differentiable at zo when f'(zo) exists.
1.
Use the definition of a derivative
8 WORDS DE
024-2
AaBb Ccc AaB AaBbccc AaBbCcD
Heading 2
Title
Subtitle Subtle Em...
Styles
to show that f'(z) = 2z for all z = C, if f(2)= 2² +1.
B
?
- 8 x
2
Ziyanda Nyele A
Find ▾
ac Replace
час
Select
Editing
+
+
100%
Transcribed Image Text:W +0 x 03:52 PM 2022-05-02 W = FILE HOME INSERT Paste Cut Copy Format Painter Clipboard PAGE 1 OF 1 Document1 - Word DESIGN PAGE LAYOUT REFERENCES MAILINGS REVIEW VIEW Calibri (Body) 12 - A A Aa ▾ T AaBbCcDc AaBb CcDc AaBb C 註••€€ 프트 BIU Uabe X₂ X² III A. aly 1 Normal 1 No Spac... Heading 1 Font G Paragraph COMPLEX ANALYSIS QUESTION PLEASE ANSWER ALL QUESTIONS DERIVATIVES Let f be a function whose domain of definition contains a neighborhood |z-Zol < of a point zo. The derivative of f at zo is the limit (1) f'(zo) = lim ƒ(z) - ƒ (zo) z - Zo and the function f is said to be differentiable at zo when f'(zo) exists. 1. Use the definition of a derivative 8 WORDS DE 024-2 AaBb Ccc AaB AaBbccc AaBbCcD Heading 2 Title Subtitle Subtle Em... Styles to show that f'(z) = 2z for all z = C, if f(2)= 2² +1. B ? - 8 x 2 Ziyanda Nyele A Find ▾ ac Replace час Select Editing + + 100%
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