sin2x 4. Find f'(x) and the equation of the tangent line to y = at x = 1 1-cosx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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I just need help with number 4. I understand 1,2,3 but I don't get 4. 

*NOTE* This is not a graded question rather an old practice sheet provided by my teacher for extra practice. 

1. Find the equation(s) of the tangent line(s) at the point(s) of intersection of the curves
f(x) = x³ – 3x² + 4x – 2 and g(x) = 2x² – 3x + 1
2. Find the area of the triangle formed by the 3 points where the slopes of the tangent lines to
the curve y = x* - 2x² + 4 are zero at these points.
3. Find the value of the tangent to y = Vx+ vx² + 1 at x = 0
sin2x
4. Find f'(x) and the equation of the tangent line to y =
at x = n
1-cosx
mark10
3.5
4.5
4 prob
IP, 3N or NA
IS, 3N
No attempt or
Nominal effot on any
question
or
IP, 25, IN
IP, 38
45 or
IG. 28. N
or
or
IG.35
2G.2N or NA
score
2-
2
2+
3-
3
mark/10
5.5
65
7.5
4 prob's
IP, 20, IS
IP, IG, IS, IN
IP, IG, 25
or
IP, 3G
IP, 2G, IN
or
2P, IG, IN
or
2P, 28
or
20, 28
2P, 2N
or
or
3G, IN
or
20, IS, IN
3G, IS
2P, IG, IS
or
4G
score
4
4+
mark/10
8
8.5
9.5
10
4 pro
3P, IN/NA
or
3P, IS
3P, IG
4P
4P
2P, 2G
(with at 123P)
Transcribed Image Text:1. Find the equation(s) of the tangent line(s) at the point(s) of intersection of the curves f(x) = x³ – 3x² + 4x – 2 and g(x) = 2x² – 3x + 1 2. Find the area of the triangle formed by the 3 points where the slopes of the tangent lines to the curve y = x* - 2x² + 4 are zero at these points. 3. Find the value of the tangent to y = Vx+ vx² + 1 at x = 0 sin2x 4. Find f'(x) and the equation of the tangent line to y = at x = n 1-cosx mark10 3.5 4.5 4 prob IP, 3N or NA IS, 3N No attempt or Nominal effot on any question or IP, 25, IN IP, 38 45 or IG. 28. N or or IG.35 2G.2N or NA score 2- 2 2+ 3- 3 mark/10 5.5 65 7.5 4 prob's IP, 20, IS IP, IG, IS, IN IP, IG, 25 or IP, 3G IP, 2G, IN or 2P, IG, IN or 2P, 28 or 20, 28 2P, 2N or or 3G, IN or 20, IS, IN 3G, IS 2P, IG, IS or 4G score 4 4+ mark/10 8 8.5 9.5 10 4 pro 3P, IN/NA or 3P, IS 3P, IG 4P 4P 2P, 2G (with at 123P)
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