Write the equation of the tangent line to y = x - 3x + 9 at x = 1. As a check, graph both the function and the tangent line. -3 Need Help? Talk to a Tutor

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.2: Transformations Of The Graphs Of Functions
Problem 115E
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Calculus HW need help. For this two questions,how do we find equation for tangent line?
Write the equation of the tangent line to y = x - 3x + 9 at x = 1. As a check, graph both the function and the tangent line.
-3
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Transcribed Image Text:Write the equation of the tangent line to y = x - 3x + 9 at x = 1. As a check, graph both the function and the tangent line. -3 Need Help? Talk to a Tutor Watch It
f(x) =
(-1, 5)
(a) Find an equation of the tangent line to the graph of the function at the given point.
y =
(b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results-
y
y
15
15
10
10
-20
-15
- 10
5
10
15
- 20
-15
- 10
-5
10
15
-5-
-5
y
y
15
15
10
10
Transcribed Image Text:f(x) = (-1, 5) (a) Find an equation of the tangent line to the graph of the function at the given point. y = (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results- y y 15 15 10 10 -20 -15 - 10 5 10 15 - 20 -15 - 10 -5 10 15 -5- -5 y y 15 15 10 10
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