1.) y"of y = arctan (tan x)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 18E
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Differentiation of Inverse Trigonometric Functions
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Reduce your final answer to its lowest term!!!
1
1.) y"of y =arctan (tan x)
2.) r"'of r = vs² – a² – a arcsec where: a is constant
3.) y'of y = arccos arcsin
4.) y"of y = varcsin 2x
5.) y'of y = arctan arcsin (
x² -a²
6.) y'of y = arccos
x-a
a
+ arccsc
+ arcsin
x2-a?
a
x-a
7.) y"ofy = (x – a)V2ax – x² + a²arcsin
a
1
8.) y'of (y² sin x + y)Z = arctan x
Transcribed Image Text:Differentiation of Inverse Trigonometric Functions Show DETAILED SOLUTION! Reduce your final answer to its lowest term!!! 1 1.) y"of y =arctan (tan x) 2.) r"'of r = vs² – a² – a arcsec where: a is constant 3.) y'of y = arccos arcsin 4.) y"of y = varcsin 2x 5.) y'of y = arctan arcsin ( x² -a² 6.) y'of y = arccos x-a a + arccsc + arcsin x2-a? a x-a 7.) y"ofy = (x – a)V2ax – x² + a²arcsin a 1 8.) y'of (y² sin x + y)Z = arctan x
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