1. A function f and its derivative f' take the following values. f'(x) 1/4 1/5 f(x) 3 3 2 If g is the inverse of f, find g'(3): А. 4 В. 5 C. ! D. Е. 2 F. None of the above

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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1. A function \( f \) and its derivative \( f' \) take the following values.

\[
\begin{array}{c|c|c}
x & f(x) & f'(x) \\
\hline
2 & 3 & \frac{1}{4} \\
3 & 2 & \frac{1}{5} \\
\end{array}
\]

If \( g \) is the inverse of \( f \), find \( g'(3) \):

A. 4  
B. 5  
C. \(\frac{1}{4}\)  
D. \(\frac{1}{5}\)  
E. 2  
F. None of the above
Transcribed Image Text:1. A function \( f \) and its derivative \( f' \) take the following values. \[ \begin{array}{c|c|c} x & f(x) & f'(x) \\ \hline 2 & 3 & \frac{1}{4} \\ 3 & 2 & \frac{1}{5} \\ \end{array} \] If \( g \) is the inverse of \( f \), find \( g'(3) \): A. 4 B. 5 C. \(\frac{1}{4}\) D. \(\frac{1}{5}\) E. 2 F. None of the above
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