dy if 6 + sin 2y = dx 2y + 3x by using implicit differentiation. 2y + 3x Find Hence, find the equation of the tangent line to the curve 6 + sin 2y at the point (2,0).
dy if 6 + sin 2y = dx 2y + 3x by using implicit differentiation. 2y + 3x Find Hence, find the equation of the tangent line to the curve 6 + sin 2y at the point (2,0).
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Related questions
Question
do like example 7
Transcribed Image Text:dy
Find
+ 3x by using implicit differentiation.
if 6 + sin 2y = 2y
2y + 3x
Rence, find the equation of the tangent line to the curve 6 + sin zy
at the point ( 2,0).
dx
Transcribed Image Text:dy
dx
2xy
At (1,-1),
dy
dx
%3D
2.
y + 1
X- 1
y+ 1
X 1
x - 2
Example 7:
dy
for In cos X
dx
e'-Y = xy
a) Find
1 by using implicit differentiation.
b) Hence, find the slope at point (0, 1).
Solution:
In cos x -
el-y
xy
a)
- 1
dy
dx
sin x
+ el-y
dx
x2y
+ y
%3D
COS X
dy
dx
dy
2xy dx
el
y + tan x
dy
dx
y + tan x
- 2xy
1-y
e
12 +tan 0
%3D
m(0,1)
b)
%3D
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