Slopes and Tangent Lines In Exercises 1-4, use the grid and a straight edge to make a rough estimate of the slope of the curve (in y-units per x-unit) at the points P and P. 1. 2. y P 3. 4. y y 14 3 2 In Exercises 5-10, find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together. 5. y = 4 - x², (-1, 3) 6. y = (x - 1)2 + 1, (1, 1)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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126
Chapter 3: Derivatives
Exercises 3.1
Slopes and Tangent Lines
In Exercises 1-4, use the grid and a straight edge to make a rough
estimate of the slope of the curve (in y-units per x-unit) at the points
P and P.
1.
2.
y
P2
P
3.
4.
y
y
3-
2
P
Pi
In Exercises 5-10, find an equation for the tangent to the curve at the
given point. Then sketch the curve and tangent together.
5. у %3D 4 — х?, (-1, 3)
6. y = (x - 1)² + 1, (1, 1)
1
(1 2)
Transcribed Image Text:126 Chapter 3: Derivatives Exercises 3.1 Slopes and Tangent Lines In Exercises 1-4, use the grid and a straight edge to make a rough estimate of the slope of the curve (in y-units per x-unit) at the points P and P. 1. 2. y P2 P 3. 4. y y 3- 2 P Pi In Exercises 5-10, find an equation for the tangent to the curve at the given point. Then sketch the curve and tangent together. 5. у %3D 4 — х?, (-1, 3) 6. y = (x - 1)² + 1, (1, 1) 1 (1 2)
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