(a) Find an equation of the tangent line to the curve y 14x sin(x) at the point (x/2, 7n). y = (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y y (7/2,77) (1/2,77) 67 6 7 4л 4 7 ן2x 2л X A/2 7/2

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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(a) Find an equation of the tangent line to the curve y = 14x sin(x) at the point (1/2, 7x).
y =
(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.
y
y
8 л
(л/2,7л)
(7/2,77)
бл
бл
4 A
л/2
A/2
y
y
87
(л/2,7л)
(T/2,77)
6 7
4л
4л
2л
X
A/2
2л
A/2
Transcribed Image Text:(a) Find an equation of the tangent line to the curve y = 14x sin(x) at the point (1/2, 7x). y = (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y y 8 л (л/2,7л) (7/2,77) бл бл 4 A л/2 A/2 y y 87 (л/2,7л) (T/2,77) 6 7 4л 4л 2л X A/2 2л A/2
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