Consider the following function. f(x) = x + 1, (-1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. (b) Use a graphing utility to graph the function and its tangent line at the point. y y 15 15 15 10 10 10 5 5 - 10 X 10 -5 10 -10 -5 5 10 -10 5 -10 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following function.
f(x) = x³ + 1,
(-1, 0)
(a) Find an equation of the tangent line to the graph of f at the given point.
y =
(b) Use a graphing utility to graph the function and its tangent line at the point.
y
y
y
15
15
15
10
10
10
5
5
-10
-5
10
-10
-5
5
10
- 10
-5
10
-10
-5
10
Transcribed Image Text:Consider the following function. f(x) = x³ + 1, (-1, 0) (a) Find an equation of the tangent line to the graph of f at the given point. y = (b) Use a graphing utility to graph the function and its tangent line at the point. y y y 15 15 15 10 10 10 5 5 -10 -5 10 -10 -5 5 10 - 10 -5 10 -10 -5 10
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