3. For f(x)=x²-2x+3, find the slope of the tangent line at the point P for which x=1 using the limit of the mpg. X у MpQ .9 .99 .999 1.001 1.01 1.1
3. For f(x)=x²-2x+3, find the slope of the tangent line at the point P for which x=1 using the limit of the mpg. X у MpQ .9 .99 .999 1.001 1.01 1.1
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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Question

Transcribed Image Text:3. For f(x)=x² −2x+3, find the slope of the tangent line at the point P for which x=1 using
the limit of the mpo ·
X
у
MpQ
.9
.99
.999
1.001
1.01
1.1
Expert Solution

Step 1: Definitions
Here, y = f(x)
= x2 - 2x + 3
Now, the slope of the tangent at P (for which x = 1) is given by
mPQ = limx→1
= limx→1 [ y(1) = 2 ]
So, for the given values of x in the table, we calculate the y-values and the corresponding ratios.
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