Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers for which f(x) is a real number. x f(x) f'(x) -3 -5 -1 0 3 4 1 2 -2 6 7 4 The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of . Let g be the function defined by g(x) = f(x² − x). What is the value of g' (3) ?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers for which
f(x) is a real number.
X
f(x)
f'(x)
-3
-5
-1
0
4
2
3
1
-2
6
7
4
The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x
. Let g be the function defined by g(x) = f(x²-x).
What is the value of g (3) ?
Transcribed Image Text:Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers for which f(x) is a real number. X f(x) f'(x) -3 -5 -1 0 4 2 3 1 -2 6 7 4 The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x . Let g be the function defined by g(x) = f(x²-x). What is the value of g (3) ?
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