For the following functions, state the domain of y, find dy dx and its domain. 279. y=sin-¹(x²) 280. y = cos¯¹ (√x) 281. 282. y = 283. -1 y = sec ¹ (+) 286. 3 -1 = (1 + tan¯¹ x) y = 284. y = √esc-¹x 285. y= cos = cos¯¹ (2x). sin¯¹ (2x) tan-¹(x) y = sec-¹ (-x) Skip the domain of both y and its derivative for # 281 287. y=cot-¹√4-x² 288. y=x.csc¹x .-1

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...
icon
Related questions
Question

please solve 285,287

For the following functions, state the domain of y,
dy
find
and its domain.
dx
279. y=sin-¹(x²)
280. y = cos ¹(√x)
-1
:-¹ (+)
282. y = √csc-¹x
281.
283.
y = sec
3
y = = (1 + tan¯¹ x)]
284. y = cos ¹ (2x) · sin¯¹ (2x)
-1
285. y =
tan¹(x)
286. y = sec¯¹ (-x)
:
= cot-¹ √√4 - x²
287. y = cot
288. y=x-csc
-1
Skip the domain of both y
and its derivative for # 281
x
Transcribed Image Text:For the following functions, state the domain of y, dy find and its domain. dx 279. y=sin-¹(x²) 280. y = cos ¹(√x) -1 :-¹ (+) 282. y = √csc-¹x 281. 283. y = sec 3 y = = (1 + tan¯¹ x)] 284. y = cos ¹ (2x) · sin¯¹ (2x) -1 285. y = tan¹(x) 286. y = sec¯¹ (-x) : = cot-¹ √√4 - x² 287. y = cot 288. y=x-csc -1 Skip the domain of both y and its derivative for # 281 x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 27 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning