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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![Complete the following list of derivative theorems:
d
–[tan x]=
dx
d
[cot x] =
dx
[csc x]=
dx
Choose one theorem from the list above and give the proof. You should not need to use
the limit-based derivative definition in this proof, and you may utilize any previously
used derivative theorem (power rule, chain rule, product rule, etc.), including the
d
d
derivatives [sinx] and [cos x] . If you utilize a previously used derivative theorem,
dx
dx
you must state explicitly where you use it in your proof. Standard algebraic operations
and trigonometric operations/identities may also be used, but they don't require citation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d848391-a5b1-45af-b291-d5739fd6d88e%2Fa99d0546-bec6-4956-b921-660e3c53d8e8%2Fopl7ihso_processed.png&w=3840&q=75)
Transcribed Image Text:Complete the following list of derivative theorems:
d
–[tan x]=
dx
d
[cot x] =
dx
[csc x]=
dx
Choose one theorem from the list above and give the proof. You should not need to use
the limit-based derivative definition in this proof, and you may utilize any previously
used derivative theorem (power rule, chain rule, product rule, etc.), including the
d
d
derivatives [sinx] and [cos x] . If you utilize a previously used derivative theorem,
dx
dx
you must state explicitly where you use it in your proof. Standard algebraic operations
and trigonometric operations/identities may also be used, but they don't require citation.
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