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dy for x'e*y Find dx sin' ( 3x) + In (y) by using implicit differentiation.

dy for x'e*y Find dx sin' ( 3x) + In (y) by using implicit differentiation.

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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24 CIT DIFERENTIATION MAT 421 TUTORIAL 24 dy dx for x'e**Y= sin' ( 3x ) + In (y) by using implicit differentiation. Find 2. Given y = sin' 2x + tan ( xy ), find by implicit differentiation. xp 3. Find dy for 4 tan' x - dx xy = sin 2y by using implicit differentiation. dy Find if tan y - 4e" = y sec x by using implicit differentiation. 4. dx 5. If 2xy + e = sin x + cos y, find dy dx using implicit differentiation. 6. Use implicit differentiation to find dy of yx + xy = sin' y. dx 7. Find given In (x + y) + e = x'y. 8. Using implicit differentiation, find for 2x y + e = sec (x + 1) dy Find if sin ( xy) + 6xy 5 cot x. dx 9. (Hìnt: d[ cot u] cosec du %3D dx 10. Find Y for 3x'y dx 4y = tan () by using implicit differentiation. 11. Let y be a function of x. If (y + 1) = 3 sec' ( 2x ) - e", find by implicit dx differentiation. 12. Find dy for 3xe + y sin x = xy by using implicit differentiation dx Answers: 6 sin 2x cos 2x y sec ky 2y - x sec'xy tunx ancs-y Z cos y 2xy 6 sin 3x cos 3x - 2x e 4x e 3. 1. 2. e 3dy - 3 sin'y cos y cos x- 2y 2ay e 5. 6xy xe ++ sin y 6. 4. Y sec x tan x + 32e 2 tan y sec y- sec x seet x+1 tan ( x +1) - 4y - 2ay'e" 4xy + 2ye 2x ye" 7. 8. +xe - 2xy 18 sac'2 tan 2 x y see Exy 11 2y2- 5 cosec'x - y cos xy- By X cOs xy + 6x 10. 9. 12y + sec
Transcribed Image Text:24 CIT DIFERENTIATION MAT 421 TUTORIAL 24 dy dx for x'e**Y= sin' ( 3x ) + In (y) by using implicit differentiation. Find 2. Given y = sin' 2x + tan ( xy ), find by implicit differentiation. xp 3. Find dy for 4 tan' x - dx xy = sin 2y by using implicit differentiation. dy Find if tan y - 4e" = y sec x by using implicit differentiation. 4. dx 5. If 2xy + e = sin x + cos y, find dy dx using implicit differentiation. 6. Use implicit differentiation to find dy of yx + xy = sin' y. dx 7. Find given In (x + y) + e = x'y. 8. Using implicit differentiation, find for 2x y + e = sec (x + 1) dy Find if sin ( xy) + 6xy 5 cot x. dx 9. (Hìnt: d[ cot u] cosec du %3D dx 10. Find Y for 3x'y dx 4y = tan () by using implicit differentiation. 11. Let y be a function of x. If (y + 1) = 3 sec' ( 2x ) - e", find by implicit dx differentiation. 12. Find dy for 3xe + y sin x = xy by using implicit differentiation dx Answers: 6 sin 2x cos 2x y sec ky 2y - x sec'xy tunx ancs-y Z cos y 2xy 6 sin 3x cos 3x - 2x e 4x e 3. 1. 2. e 3dy - 3 sin'y cos y cos x- 2y 2ay e 5. 6xy xe ++ sin y 6. 4. Y sec x tan x + 32e 2 tan y sec y- sec x seet x+1 tan ( x +1) - 4y - 2ay'e" 4xy + 2ye 2x ye" 7. 8. +xe - 2xy 18 sac'2 tan 2 x y see Exy 11 2y2- 5 cosec'x - y cos xy- By X cOs xy + 6x 10. 9. 12y + sec
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