2. Let h(x) = f(x) · g(x) and j(x) = f(x) / g(x). Complete the table using the information about f and g given in the table and the definitions of h and j. x f(x)f'(x)g(x)g'(x)h'(x)|j'(x) -21 -1 -3 4 -10 -2 1 1 0-1 2-2 1 -2 1 2 -2 -1 2 16 2 3 -1 -2 -1/9 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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2. Let h(x) = f(x) · g(x) and j(x) = f(x)/ g(x). Complete the table using the information about f and g given in the table and the definitions of h and j.
x f(x)f'(x) g(x)g'(x)h'(x)'(x)
-21 -1 -3 4
-10 -2 1
0-1 2 -2 1
1 2 -2 -1
9
2 3
-1 2 -2
-2
16
-1/9
1
Transcribed Image Text:2. Let h(x) = f(x) · g(x) and j(x) = f(x)/ g(x). Complete the table using the information about f and g given in the table and the definitions of h and j. x f(x)f'(x) g(x)g'(x)h'(x)'(x) -21 -1 -3 4 -10 -2 1 0-1 2 -2 1 1 2 -2 -1 9 2 3 -1 2 -2 -2 16 -1/9 1
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