Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y = Illustrate by graphing the curve and the tangent line on the same screen. y y

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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Find an equation of the tangent line to the curve at the given point.
y = 7x2 - x3, (1, 6)
y =
Illustrate by graphing the curve and the tangent line on the same screen.
y
y
50
50
40
40
30
30
20
20
10
10
X
X
O-8
-6
-4
-2
O-2
2
4
6.
y
y
50
50
40
40
30
30
20
20
10
10
X
X
O-8
-6
-4
-2
O-2
2
4
6
8
Transcribed Image Text:Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y = Illustrate by graphing the curve and the tangent line on the same screen. y y 50 50 40 40 30 30 20 20 10 10 X X O-8 -6 -4 -2 O-2 2 4 6. y y 50 50 40 40 30 30 20 20 10 10 X X O-8 -6 -4 -2 O-2 2 4 6 8
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