Verify each differentiation formula d -u (a) [Arccos(u)] = dx V1-u? (b)(Arccot(u)] = d -u dx 1+u² -u (c) [Arccsc(u)] : dx |u|Vu²-1

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Exercise 3.2.
1. Verify each differentiation formula
(a) [Arccos(u)] =
-u
dx
V1-u2
(b)[Arccot(u)] =
-ur
dx
1+и?
(c) [Arccsc(u)] =
-u!
dx
Ju|Vu2-1
2. True or False.
The [Arctan(tan x)] = 1 for all x in the domain. ans. True
dx
Transcribed Image Text:Exercise 3.2. 1. Verify each differentiation formula (a) [Arccos(u)] = -u dx V1-u2 (b)[Arccot(u)] = -ur dx 1+и? (c) [Arccsc(u)] = -u! dx Ju|Vu2-1 2. True or False. The [Arctan(tan x)] = 1 for all x in the domain. ans. True dx
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