Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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The table shows some values of the derivative of an unknown function f.
Complete the table by finding the derivative of each transformation of f, if
possible. (If an answer is undefined, enter UNDEFINED.)
-2|-1
2
3
2
|f'(x)
-1|-5|-6
3
g'(x)
h'(x)
r'(x)
s'(x)
(a)
g(x) = f(x) – 6
-2
3
2
f'(x)
6.
-1
-5
-6
3
g'(x)
(b)
h(x) = 2f(x)
-2
-1
1
2
3
2
f'(x)
6.
- 1
-5
-6
h'(x)
(c)
r(x) = f(-3x)
-2
-1
1
f'(x)
-1
-5
-6
3
3
r(x)
(d)
s(x) = f(x + 2)
-2
-1
1
2
3
f'(x)
6.
-1
-5
-6
3
s'(x)
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Transcribed Image Text:The table shows some values of the derivative of an unknown function f. Complete the table by finding the derivative of each transformation of f, if possible. (If an answer is undefined, enter UNDEFINED.) -2|-1 2 3 2 |f'(x) -1|-5|-6 3 g'(x) h'(x) r'(x) s'(x) (a) g(x) = f(x) – 6 -2 3 2 f'(x) 6. -1 -5 -6 3 g'(x) (b) h(x) = 2f(x) -2 -1 1 2 3 2 f'(x) 6. - 1 -5 -6 h'(x) (c) r(x) = f(-3x) -2 -1 1 f'(x) -1 -5 -6 3 3 r(x) (d) s(x) = f(x + 2) -2 -1 1 2 3 f'(x) 6. -1 -5 -6 3 s'(x) Need Help? Read It |个
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