11. Let - f(x) = −(x − 1)(x − 4) (a) Find the equation of the tangent line to the graph of f(x) at the point (2, 2). 3. 2 --1- -3 -2 -1 0 1 --1- -2 -3- (b) On the graph of f(x) at the right, make a careful drawing of the tangent line at the point (2, 2). 3. -2- 4 5

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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11. Let
-
f(x) = −(x − 1)(x − 4)
(a) Find the equation of the tangent line to the graph of
f(x) at the point (2, 2).
3.
2
--1-
-3 -2
-1
0
1
--1-
-2
-3-
(b) On the graph of f(x) at the right, make a careful
drawing of the tangent line at the point (2, 2).
3.
-2-
4
5
Transcribed Image Text:11. Let - f(x) = −(x − 1)(x − 4) (a) Find the equation of the tangent line to the graph of f(x) at the point (2, 2). 3. 2 --1- -3 -2 -1 0 1 --1- -2 -3- (b) On the graph of f(x) at the right, make a careful drawing of the tangent line at the point (2, 2). 3. -2- 4 5
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