Prove the following derivative formulas using the derivative rules and the derivatives of sinx and cos , ie a) [csc x] d dx d dx = - [sin x] = COS X csc x cotx b) [sec x] = secx tan x c) [cotx] = −csc² x and d dx -[cos x] = - sin x. ==

Calculus: Early Transcendentals
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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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Prove the following derivative formulas using the derivative rules and the
derivatives of sin x and cos x, ie
a)
b)
c)
d
dx
dx
d
[csc x]
d
dx
=
[sin x] = COS x
CSC x cotx
[sec x] = sec x tan x
[cotx] = −csc² x
and
d
dx
[cos x] - sin x.
=
Transcribed Image Text:Prove the following derivative formulas using the derivative rules and the derivatives of sin x and cos x, ie a) b) c) d dx dx d [csc x] d dx = [sin x] = COS x CSC x cotx [sec x] = sec x tan x [cotx] = −csc² x and d dx [cos x] - sin x. =
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