dy Find for the following implicit functions : dx a) x' +4x/y . 5y = 3 (ans.:- 3x +5 y'x +4y, 10x"yー 2x Vy y b) Vxy +1= y (ans.: 2Jxy 3x' Vx' + y* - 2y , c) 3xy = (x' + y (ans.:
dy Find for the following implicit functions : dx a) x' +4x/y . 5y = 3 (ans.:- 3x +5 y'x +4y, 10x"yー 2x Vy y b) Vxy +1= y (ans.: 2Jxy 3x' Vx' + y* - 2y , c) 3xy = (x' + y (ans.:
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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Question
![Н.
H. W.
.
dy
for the following implicit functions :
dx
Find
a) x + 4x/y
_ 5y²
3x +5 y'x+4Ny,
(ans.:
2x
10x"yー
Vy
y
b) Vxy +1= y
(ans.:
2Jxy
3x' x' +y- 2 y
2.x – 3 y' x + y'
(1+ y' )(3x + tan y),
1+ y - x
y1-(x-y)² + 1-(xy)
V1-(xyア-V1-(xーy
sec' x- y'.cos( xy)
2y.sin(xy)+ xy.cos(xy)
2.tan x.secx)
cosh y
-
c) 3y=(x'+ア
(ans.:
d) x' +x.tan y = y
-1
(ans.:
e)
sin(xy)= cos(x-y)
(ans.:
f) y'.sin(xy)= tanx
(ans.:
g) sinh y = tan' x
(ans.:
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fabc4da59-a427-4187-a454-3210bef925e7%2Faeecc919-a39e-4383-bc4c-fcca88b9ead0%2Fnmghkw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Н.
H. W.
.
dy
for the following implicit functions :
dx
Find
a) x + 4x/y
_ 5y²
3x +5 y'x+4Ny,
(ans.:
2x
10x"yー
Vy
y
b) Vxy +1= y
(ans.:
2Jxy
3x' x' +y- 2 y
2.x – 3 y' x + y'
(1+ y' )(3x + tan y),
1+ y - x
y1-(x-y)² + 1-(xy)
V1-(xyア-V1-(xーy
sec' x- y'.cos( xy)
2y.sin(xy)+ xy.cos(xy)
2.tan x.secx)
cosh y
-
c) 3y=(x'+ア
(ans.:
d) x' +x.tan y = y
-1
(ans.:
e)
sin(xy)= cos(x-y)
(ans.:
f) y'.sin(xy)= tanx
(ans.:
g) sinh y = tan' x
(ans.:
%3D
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