and If y = cos-(2x) compute cliy (2x) compute dy and = COS tind the equatiun for the tangent line at Xv equation for v = You may le in ave Point-slope form

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.
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and
If y = cos-(2x) compute cliy
(2x) compute dy and
= COS
tind the equatiun for the tangent
line at Xv
equation for
v =
You may le
in
ave
Point-slope form
Transcribed Image Text:and If y = cos-(2x) compute cliy (2x) compute dy and = COS tind the equatiun for the tangent line at Xv equation for v = You may le in ave Point-slope form
Expert Solution
Step 1

It is given that,

-1
y = cos"(2x).
Differentiate y with respect to x as follows.
dy d
cos" (2x)]
dx dx
-1
-1
(cos¯(x)) =
V1-x?
(2)
dx
1-(2x)*
-2
V1 - 4x?
||
Step 2
At :
y= cos
4
= cos
That is, (x,,yo) =
4 '6
4-
||
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