Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. d a. -1sin-x + dx s-!x2 = 0 cos d b. -1tan-x2 sec?x dx c. The lines tangent to the graph ofy = sin-'x on the interval 3–1, 14 have a minimum slope of 1. d. The lines tangent to the graph of y = sin x on the interval 3-p>2, p>24 have a maximum slope of 1. 1>x, then 1f-12'1x2 = -1>x². e. If flx2 = 1>x, then 1f-'2'1x2 = -1>x².

Calculus: Early Transcendentals
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Author:James Stewart
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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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Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
d
a. -1sin-x +
dx
s-!x2 = 0
cos
d
b.
-1tan-x2
sec?x
dx
c. The lines tangent to the graph ofy = sin-'x on the interval
3–1, 14 have a minimum slope of 1.
d. The lines tangent to the graph of y = sin x on the interval
3-p>2, p>24 have a maximum slope of 1.
1>x, then 1f-12'1x2 = -1>x².
e. If flx2 = 1>x, then 1f-'2'1x2 = -1>x².
Transcribed Image Text:Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. d a. -1sin-x + dx s-!x2 = 0 cos d b. -1tan-x2 sec?x dx c. The lines tangent to the graph ofy = sin-'x on the interval 3–1, 14 have a minimum slope of 1. d. The lines tangent to the graph of y = sin x on the interval 3-p>2, p>24 have a maximum slope of 1. 1>x, then 1f-12'1x2 = -1>x². e. If flx2 = 1>x, then 1f-'2'1x2 = -1>x².
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