Consider the following function and point. =X+2, (3,5) (a) Find an equation of the tangent line to the graph of f at the given point. y = f(x) = (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of the graphing utility to confirm your results. (Select the correct graph.) y y 5 10 7- -10 15 10 5 10 -10 +10 -15 ℗

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following function and point.
(3,5)
=
(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 the graphing utility to confirm your results. (Select the correct graph.)
y
y
5
10
+
10
-15
-5
15
10
5
10
-10
-5
y
10
-15
DO
Transcribed Image Text:Consider the following function and point. (3,5) = (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 the graphing utility to confirm your results. (Select the correct graph.) y y 5 10 + 10 -15 -5 15 10 5 10 -10 -5 y 10 -15 DO
15
10
A
5
-10
X
Transcribed Image Text:15 10 A 5 -10 X
Expert Solution
Step 1: Given the information

The given function f open parentheses x close parentheses equals fraction numerator x plus 2 over denominator x minus 2 end fraction.

The aim is to find the equation of the tangent line at the point open parentheses 3 comma space 5 close parentheses and sketch its graph.

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