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Suppose that f(x) I + 6 is differentiable and has an inverse for æ > 1 and f (2) = 8. Find (f ')' (8).

Suppose that f(x) I + 6 is differentiable and has an inverse for æ > 1 and f (2) = 8. Find (f ')' (8).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that \( f(x) = \frac{x + 6}{x - 1} \) is differentiable and has an inverse for \( x > 1 \) and \( f(2) = 8 \). Find \( (f^{-1})'(8) \). a) \(-\frac{2}{7}\) b) \(\frac{2}{7}\) c) \(\frac{1}{7}\) d) \(-\frac{1}{14}\) e) \(-\frac{1}{7}\)
Transcribed Image Text:Suppose that \( f(x) = \frac{x + 6}{x - 1} \) is differentiable and has an inverse for \( x > 1 \) and \( f(2) = 8 \). Find \( (f^{-1})'(8) \). a) \(-\frac{2}{7}\) b) \(\frac{2}{7}\) c) \(\frac{1}{7}\) d) \(-\frac{1}{14}\) e) \(-\frac{1}{7}\)
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