Find the following using the table below. x g(x) 1 421 4 2 3 4 3 1 2 3 1 3 2 3 1 h' (2) if h(x) = 442 h'(2) if h(x) = f(x) · g(x) f(x) g(x)

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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Find the following using the table below.
14
74
x
f(x)
f'(x) 2 4
g(x)
g'(x)
| | | ماه
2 3 4
h' (2) if h(x) =
3 1 2
3 1
4
3 2
2 3 1
h' (2) if h(x) = f(x) · g(x)
f(x)
g(x)
Transcribed Image Text:Find the following using the table below. 14 74 x f(x) f'(x) 2 4 g(x) g'(x) | | | ماه 2 3 4 h' (2) if h(x) = 3 1 2 3 1 4 3 2 2 3 1 h' (2) if h(x) = f(x) · g(x) f(x) g(x)
Expert Solution
Step 1: Define the Product Rule and the Quotient Rule:

The Product Rule:

open parentheses f times g close parentheses apostrophe equals f apostrophe times g plus f times g apostrophe

The Quotient Rule:

open parentheses f over g close parentheses to the power of apostrophe equals fraction numerator f apostrophe times g minus g apostrophe times f over denominator g squared end fraction

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