Suppose fand g are differentiable functions with the values shown in the table below. For each of the following functions h, find h '(2). X (c) h(x) f(x) g(x) f'(x) 2 7 (a) h(x) = f(x) + g(x) h'(2)= (b) h(x) = f(x)g(x) h'(2)= = f(x) alud 2 7 g'(x) -2

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h '(2).
X
(c) h(x)
2
h'(2)=
f(x)
(a) h(x) = f(x) + g(x)
h'(2)=
(b) h(x) = f(x)g(x)
h'(2)=
7
=
g(x) f'(x)
f(x)
g(x)
2
7
g'(x)
-2
Transcribed Image Text:Suppose f and g are differentiable functions with the values shown in the table below. For each of the following functions h, find h '(2). X (c) h(x) 2 h'(2)= f(x) (a) h(x) = f(x) + g(x) h'(2)= (b) h(x) = f(x)g(x) h'(2)= 7 = g(x) f'(x) f(x) g(x) 2 7 g'(x) -2
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