Help Aav AE E E Po 三E T AaBbCcDd AaBbCcDd AaBbCc AaBbCc e、A、1三E加=1益、一 |、田、 1 Normal 1 No Spac... Heading 1 Heading 2 Paragraph Styles Question 11. (a, Differentiatey = tan-1, x # 0, and hence show that (tan-1x + tan-1-) = 0. dx. (b) Hence sketch the curvey tan-1 x + tan-1. Question 8. (a) Show that (sin 1 x + cos-1x) = 0 and hence find the exact value of sin-1 x+ cos-1x. dx (b) Use the result in (a) to find the coordinates of the point of intersection of the curves y = sin-1 x and y = cos-1 x. int of

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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Aa v A
三E T
AaBbCcDd AaBbCcDd AAB6CC AaBbCc
1 Normal
1 No Spac.. Heading 1
Heading 2
Paragraph
Styles
Question 11.
(a, Differentiate y = tan-1
x'
x + 0, and hence show that (tan-1x+ tan-12) = 0.
dx
(b) Hence sketch the curvey tan-1x + tan-1.
Question 8.
(a) Show that (sin 1 x + cos-1 x) = 0 and hence find the exact value of sin-1 x + cos-1x.
dx
(b) Use the result in (a) to find the coordinates of the point of intersection of the curves
y = sin-1 x and y = cos-1 x.
(c) Find the size of the acute angle between the curves y = sin-1 x and y = cos-1x at the point of
intersection.
(a) Given y = (sin-1 x)², show that (1- x2)y" – xy'-2 0.
17
Transcribed Image Text:view Help Aa v A 三E T AaBbCcDd AaBbCcDd AAB6CC AaBbCc 1 Normal 1 No Spac.. Heading 1 Heading 2 Paragraph Styles Question 11. (a, Differentiate y = tan-1 x' x + 0, and hence show that (tan-1x+ tan-12) = 0. dx (b) Hence sketch the curvey tan-1x + tan-1. Question 8. (a) Show that (sin 1 x + cos-1 x) = 0 and hence find the exact value of sin-1 x + cos-1x. dx (b) Use the result in (a) to find the coordinates of the point of intersection of the curves y = sin-1 x and y = cos-1 x. (c) Find the size of the acute angle between the curves y = sin-1 x and y = cos-1x at the point of intersection. (a) Given y = (sin-1 x)², show that (1- x2)y" – xy'-2 0. 17
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