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√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
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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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 Page 13 of 16
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 Page 13 of 16
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