√1-x² Q #6 Please find following derivatives, using whichever notation you prefer (i.e. arcsinx or sin "¹x). Final Answer a) f(x) = - x+3arcsin x 4 -1 (arccotx) = 1 + x+3sin¹ x 4 b) f(x)=V1−x’ arcsinx= = V1−r’ sin x x√√x² - (arcese x)=√²-1 Final Answer
√1-x² Q #6 Please find following derivatives, using whichever notation you prefer (i.e. arcsinx or sin "¹x). Final Answer a) f(x) = - x+3arcsin x 4 -1 (arccotx) = 1 + x+3sin¹ x 4 b) f(x)=V1−x’ arcsinx= = V1−r’ sin x x√√x² - (arcese x)=√²-1 Final Answer
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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Transcribed Image Text:OPIC 3: Derivatives of Inverse Trig Functions (basic rules, combos with other rules, etc.)
(arcsin x)
(arcsec x) =
(arccos.x) =
(arcese x) =
Basic Rules
√1-x²
√1-x²
(arctan x)
(arccot x) =
a) f(x)=x+3 arcsin.x x+3sin x
4
1
1+x²
Q #6 Please find following derivatives, using whichever notation you prefer (i.e. arcsinx or sin ¹x).
Final Answer
b) f(x)=V1x’ arcsin x= = V1−xsin 'x
√x²-1
-1
x√√x²-1
1+x²
Final Answer
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