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
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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 36E
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03fd5f25-eded-4046-9c65-9e89b5e28b89%2F9c36c9f2-d337-43eb-a7a3-278c65dfd129%2Fb3brf6g_processed.png&w=3840&q=75)
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
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