3. A table of values for the functions f(x) and f'(x) and a graph of the piecewise linear function g(x) are shown below. (Hint: Be careful of "wacky" derivatives.) (b) Given p(x) = (c) Given q(x) = (d) Given g(x) = (e) Given l(x) g(x) √x = 5 4 (a) Given h(x) = f(x)g(x), find h'(1). f(x) find p'(2). g(x)' g(x) f(x)' f(x) g(x)' find q' (2). 2 -1 find q'(3). find l'(4). 1 -2 X -1 0 1 2 3 4 f(x) f'(x) 11 -3 2 -2 9 0 1 2 g(x) 2 4 -5 -2 6 3 4 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
3. A table of values for the functions f(x) and f'(x) and a graph of the piecewise linear function
g(x) are shown below. (Hint: Be careful of "wacky" derivatives.)
(b) Given p(x) =
(c) Given q(x) =
(d) Given g(x) =
(e) Given l(x) g(x)
√x
=
5
4
(a) Given h(x) = f(x)g(x), find h'(1).
f(x)
find p'(2).
g(x)'
g(x)
f(x)'
f(x)
g(x)'
find q' (2).
2
-1
find q'(3).
find l'(4).
1
-2
X
-1
0
1
2
3
4
f(x) f'(x)
11
-3
2
-2
9
0
1
2
g(x)
2
4
-5
-2
6
3
4
5
Transcribed Image Text:3. A table of values for the functions f(x) and f'(x) and a graph of the piecewise linear function g(x) are shown below. (Hint: Be careful of "wacky" derivatives.) (b) Given p(x) = (c) Given q(x) = (d) Given g(x) = (e) Given l(x) g(x) √x = 5 4 (a) Given h(x) = f(x)g(x), find h'(1). f(x) find p'(2). g(x)' g(x) f(x)' f(x) g(x)' find q' (2). 2 -1 find q'(3). find l'(4). 1 -2 X -1 0 1 2 3 4 f(x) f'(x) 11 -3 2 -2 9 0 1 2 g(x) 2 4 -5 -2 6 3 4 5
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