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

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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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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