2. Suppose f (x) is a differentiable function with derivative f'(x) with values at some particular choices of x given in the table below. Suppose further that f-1(x), the inverse of f, exists. 1 3 7 f (x) f'(x) 1/5 2/3 2/5 3/7 1/9 2/9 1/3 -4 1 7 8 3 11 12 (a) Find f-1(1). (b) Find (f-1)'(11). (c) Find (f-1)'(f-1(7)).
2. Suppose f (x) is a differentiable function with derivative f'(x) with values at some particular choices of x given in the table below. Suppose further that f-1(x), the inverse of f, exists. 1 3 7 f (x) f'(x) 1/5 2/3 2/5 3/7 1/9 2/9 1/3 -4 1 7 8 3 11 12 (a) Find f-1(1). (b) Find (f-1)'(11). (c) Find (f-1)'(f-1(7)).
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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