The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table. x f(x) f'(x) | g(x) | g'(x) 1 -4 8 4 2 2 4 -5 16 3 3 1 9 -4 -1 4 16 -1 1 4 Find each value. (a) [√x. f(x)] dx (b) at x = 4 d g(x) dx f(x) at x = 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table.
x
f(x) f'(x) | g(x) | g'(x)
1
-4
8
4
2
2
4
-5
16
3
3
1
9
-4
-1
4
16
-1
1
4
Find each value.
(a) [√x. f(x)]
dx
(b)
at x = 4
d g(x)
dx f(x)
at x = 2
Transcribed Image Text:The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g' for various values of x are given in the table. x f(x) f'(x) | g(x) | g'(x) 1 -4 8 4 2 2 4 -5 16 3 3 1 9 -4 -1 4 16 -1 1 4 Find each value. (a) [√x. f(x)] dx (b) at x = 4 d g(x) dx f(x) at x = 2
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