The following is a graph of g(x) = tan x – 2 sin x. y 4 y=g(x) 2 22 -2 -4 Figure 2 a) Compute g'(0), g'(n), and g'(2n). b) Find equations of the lines tangent to this curve at x = 0, x = n, and x = 2n. c) Graph the equations you found in (b), and make sure they look as they should.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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The following is a graph of g(x) = tan x – 2 sin x.
y
4
y=g(x)
2
22
-2
-4
Figure 2
a) Compute g'(0), g'(n), and g'(2n).
b) Find equations of the lines tangent to this curve at x = 0, x = n, and x = 2n.
c) Graph the equations you found in (b), and make sure they look as they should.
Transcribed Image Text:The following is a graph of g(x) = tan x – 2 sin x. y 4 y=g(x) 2 22 -2 -4 Figure 2 a) Compute g'(0), g'(n), and g'(2n). b) Find equations of the lines tangent to this curve at x = 0, x = n, and x = 2n. c) Graph the equations you found in (b), and make sure they look as they should.
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