Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 79, c
![%20Calculus%20Early%20Transcendental%20Functions-1%20(5).pdf
150%
Figure for 78
79. Proof Prove each differentiation formula.
cale
d
(a)
[arccos u]
dx
Vi – u
(b)
dx
[arctan u]
1 + u?
p/0F
d
(c)
[arcsec u]
%3D
or an
dx
1
e rate
(d)
[arccot u]
dx
1 + u²
nt, an
d
on the
of the
[arccse u]
(e)
dx
1
80. Existence of an Inverse
Determine the values of k such
that the function f(x) = kx + sin x has an inverse function.
object
0. At
True or False?
statement is true or false. If it is false, explain why or give an
example that shows it is false.
In Exercises 81-84, determine whether the
of the
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Transcribed Image Text:%20Calculus%20Early%20Transcendental%20Functions-1%20(5).pdf
150%
Figure for 78
79. Proof Prove each differentiation formula.
cale
d
(a)
[arccos u]
dx
Vi – u
(b)
dx
[arctan u]
1 + u?
p/0F
d
(c)
[arcsec u]
%3D
or an
dx
1
e rate
(d)
[arccot u]
dx
1 + u²
nt, an
d
on the
of the
[arccse u]
(e)
dx
1
80. Existence of an Inverse
Determine the values of k such
that the function f(x) = kx + sin x has an inverse function.
object
0. At
True or False?
statement is true or false. If it is false, explain why or give an
example that shows it is false.
In Exercises 81-84, determine whether the
of the
71°F Cloudy
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