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The following is a graph of g(x) = tan x – 2 sin x. y 4 y=g(x) 2- TT -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 = 1, and x = 2n. c) Graph the equations you found in (b), and make sure they look as they should. d) What happens when you try to find the equation of the line tangent to this curve x = ? Why?

The following is a graph of g(x) = tan x – 2 sin x. y 4 y=g(x) 2- TT -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 = 1, and x = 2n. c) Graph the equations you found in (b), and make sure they look as they should. d) What happens when you try to find the equation of the line tangent to this curve x = ? Why?

Algebra & Trigonometry with Analytic Geometry
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- TT -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 = 1, and x = 2n. c) Graph the equations you found in (b), and make sure they look as they should. d) What happens when you try to find the equation of the line tangent to this curve at x = ? Why?
Transcribed Image Text:The following is a graph of g(x) = tan x – 2 sin x. y 4 y=g(x) 2- TT -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 = 1, and x = 2n. c) Graph the equations you found in (b), and make sure they look as they should. d) What happens when you try to find the equation of the line tangent to this curve at x = ? Why?
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