Question 2 Consider the function f(x) = 4e"*-1. i) Find f(1) and f'(1). ii) Let f(1) = Yo be your answer from part (i). Using the Inverse Function Theorem, find (f-1)'(yo). iii) Verify your answer to part (ü) by explicitly finding f-1 and compute (f-1)'(yo).
Question 2 Consider the function f(x) = 4e"*-1. i) Find f(1) and f'(1). ii) Let f(1) = Yo be your answer from part (i). Using the Inverse Function Theorem, find (f-1)'(yo). iii) Verify your answer to part (ü) by explicitly finding f-1 and compute (f-1)'(yo).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Question 2 Consider the function f(x) = 4e"° –1.
i) Find f(1) and f'(1).
ii) Let f(1) = yYo be your answer from part (i). Using the Inverse Function Theorem, find (f-1)'(yo).
iii) Verify your answer to part (ii) by explicitly finding f-1 and compute (f-1)'(yo).
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