2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1)? X f'(x) 1 2 -4 4 0.1 0.2 0.3 0.4 0.5 2 32 Á Cannot be determined 01 5

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1)?
X
f'(x) 1 2 3 -4 5
-4
0.1 0.2 0.3 0.4 0.5
2
Cannot be determined
Transcribed Image Text:2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1)? X f'(x) 1 2 3 -4 5 -4 0.1 0.2 0.3 0.4 0.5 2 Cannot be determined
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