Exercise 2: Derive the formula for the derivative of arcsec(x) in two different ways: (a) Let arcsec(x) sec(y). Then solve for the derivative as an inverse function in our usual = Y, so x = you will have to be careful with the positive and negative signs. Note way. (b) Show that arcsec(x) = arccos(1/x). Then differentiate arccos(1/x) via the chain rule.
Exercise 2: Derive the formula for the derivative of arcsec(x) in two different ways: (a) Let arcsec(x) sec(y). Then solve for the derivative as an inverse function in our usual = Y, so x = you will have to be careful with the positive and negative signs. Note way. (b) Show that arcsec(x) = arccos(1/x). Then differentiate arccos(1/x) via the chain rule.
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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![Exercise 2: Derive the formula for the derivative of arcsec(x) in two different ways:
(a) Let arcsec(x)
sec(y). Then solve for the derivative as an inverse function in our usual
= Y, so x =
you will have to be careful with the positive and negative signs.
Note
way.
(b) Show that arcsec(x) = arccos(1/x). Then differentiate arccos(1/x) via the chain rule.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd278ed62-b725-4a86-a1fe-982d6fd45a66%2Fb2d5bf17-ee80-4915-9e51-7e683bf6f24b%2Fv692ka6.png&w=3840&q=75)
Transcribed Image Text:Exercise 2: Derive the formula for the derivative of arcsec(x) in two different ways:
(a) Let arcsec(x)
sec(y). Then solve for the derivative as an inverse function in our usual
= Y, so x =
you will have to be careful with the positive and negative signs.
Note
way.
(b) Show that arcsec(x) = arccos(1/x). Then differentiate arccos(1/x) via the chain rule.
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