Answer: In Exercises 105108, verify that has an inverse.
Chapter 3, Problem 107(choose chapter or problem)
Evaluating the Derivative of an Inverse Function In Exercises 105–108, verify that f has an inverse. Then use the function f and the given real number a to find \(\left(f^{-1}\right)^{\prime}(a)\) (Hint: Use Theorem 3.17.)
Function Real Number
\(f(x)=\tan x,-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}\) \(a=\frac{\sqrt{3}}{3}\)
Text Transcription:
(f^-1)^(a)
f(x)=tan x,-pi/4 leq x leq pi/4
a=sqrt 3/3
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