Find an equation of the tangent line to the curve at the given point. f(x) = 4x²-x³, (1, 3) y = Illustrate by graphing the curve and the tangent line on the same screen. 15 10 10 n k -1 2 JA 10 X -3 -2 -1 1 2 -5 -1 -3 2 -1 3 3 15 10

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.
f(x) = 4x² - x³, (1, 3)
y =
Illustrate by graphing the curve and the tangent line on the same screen.
10
X
-2 -1
nu
NN
10
X
1
2
-5
4 -3 -2 -1
-1
15
10
2
4 -3 -2 -1
3
15
y
15
1
2
3
15
10
1
2
X
Transcribed Image Text:Find an equation of the tangent line to the curve at the given point. f(x) = 4x² - x³, (1, 3) y = Illustrate by graphing the curve and the tangent line on the same screen. 10 X -2 -1 nu NN 10 X 1 2 -5 4 -3 -2 -1 -1 15 10 2 4 -3 -2 -1 3 15 y 15 1 2 3 15 10 1 2 X
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