Consider the following function. f(x)=√√√x, (4,2) (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. Use the tangent feature of a graphing utility to confirm your results. (Select the correct graph.) y 4 3 2 4 6 8 10 4 3 2 1 2 4 6 8 10 2 4 6 8 10
Consider the following function. f(x)=√√√x, (4,2) (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. Use the tangent feature of a graphing utility to confirm your results. (Select the correct graph.) y 4 3 2 4 6 8 10 4 3 2 1 2 4 6 8 10 2 4 6 8 10
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
Related questions
Question
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Transcribed Image Text:y
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![Consider the following function.
f(x)=√x, (4, 2)
(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. Use the tangent feature of a graphing utility to confirm your results. (Select the correct graph.)
y
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5
5
4
O
3
1
y
5
2
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10
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6
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X
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Transcribed Image Text:Consider the following function.
f(x)=√x, (4, 2)
(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. Use the tangent feature of a graphing utility to confirm your results. (Select the correct graph.)
y
y
5
5
4
O
3
1
y
5
2
4
6
8
10
4
3
2
2
4
6
8
10
X
4
3
1
2
4
6
8
10
X
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