CALCULUS W/SAPLING ACCESS >IC<
4th Edition
ISBN: 9781319323394
Author: Rogawski
Publisher: MAC HIGHER
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Chapter 15, Problem 48CRE
To determine
The critical points of the function and analyze the critical points using the Second Derivative Test.
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Students have asked these similar questions
In Exercises 22–27, find a formula for the derivative of the
function using the difference quotient.
22. g(x)= 2x² – 3
23. m(x) = 1/(x + 1)
In Exercises 41 – 46, confirm your results with a graphing utility.
41. For the function f(x)= x³ + 2x – 4, find:
The slope of the tangent line at x = -1.
b. The equation of the tangent line at x = -1.
Fill in the blanks or write "none". You must use calculus and show the tests. The domain of the function f is (-infinity, -2), (-2,2), (2,infinity). The 1st and 2nd derivatives are:
f'(x)= -8x/(x2-4)2 , f"(x)= 8(3x2+4)/(x2-4)3
critical number(s) of f:_________
open interval(s) where f is increasing:_________
open interval(s) where f is decreasing:_________
open inrerval(s) where f is concave upward:________
open interval(s) where f is concave downward:________
type of local extrema and the x-value where they occur:________
x-value of any point(s) of inflection:________
Chapter 15 Solutions
CALCULUS W/SAPLING ACCESS >IC<
Ch. 15.1 - Prob. 1PQCh. 15.1 - Prob. 2PQCh. 15.1 - Prob. 3PQCh. 15.1 - Prob. 4PQCh. 15.1 - Prob. 5PQCh. 15.1 - Prob. 1ECh. 15.1 - Prob. 2ECh. 15.1 - Prob. 3ECh. 15.1 - Prob. 4ECh. 15.1 - Prob. 5E
Ch. 15.1 - Prob. 6ECh. 15.1 - Prob. 7ECh. 15.1 - Prob. 8ECh. 15.1 - Prob. 9ECh. 15.1 - Prob. 10ECh. 15.1 - Prob. 11ECh. 15.1 - Prob. 12ECh. 15.1 - Prob. 13ECh. 15.1 - Prob. 14ECh. 15.1 - Prob. 15ECh. 15.1 - Prob. 16ECh. 15.1 - Prob. 17ECh. 15.1 - Prob. 18ECh. 15.1 - Prob. 19ECh. 15.1 - Prob. 20ECh. 15.1 - Prob. 21ECh. 15.1 - Prob. 22ECh. 15.1 - Prob. 23ECh. 15.1 - Prob. 24ECh. 15.1 - Prob. 25ECh. 15.1 - Prob. 26ECh. 15.1 - Prob. 27ECh. 15.1 - Prob. 28ECh. 15.1 - Prob. 29ECh. 15.1 - Prob. 30ECh. 15.1 - Prob. 31ECh. 15.1 - Prob. 32ECh. 15.1 - Prob. 33ECh. 15.1 - Prob. 34ECh. 15.1 - Prob. 35ECh. 15.1 - Prob. 36ECh. 15.1 - Prob. 37ECh. 15.1 - Prob. 38ECh. 15.1 - Prob. 39ECh. 15.1 - Prob. 40ECh. 15.1 - Prob. 41ECh. 15.1 - Prob. 42ECh. 15.1 - Prob. 43ECh. 15.1 - Prob. 44ECh. 15.1 - Prob. 45ECh. 15.1 - Prob. 46ECh. 15.1 - Prob. 47ECh. 15.1 - Prob. 48ECh. 15.1 - Prob. 49ECh. 15.1 - Prob. 50ECh. 15.1 - Prob. 51ECh. 15.1 - Prob. 52ECh. 15.1 - Prob. 53ECh. 15.1 - Prob. 54ECh. 15.1 - Prob. 55ECh. 15.1 - Prob. 56ECh. 15.1 - Prob. 57ECh. 15.1 - Prob. 58ECh. 15.1 - Prob. 59ECh. 15.1 - Prob. 60ECh. 15.1 - Prob. 61ECh. 15.2 - Prob. 1PQCh. 15.2 - Prob. 2PQCh. 15.2 - Prob. 3PQCh. 15.2 - Prob. 4PQCh. 15.2 - Prob. 1ECh. 15.2 - Prob. 2ECh. 15.2 - Prob. 3ECh. 15.2 - Prob. 4ECh. 15.2 - Prob. 5ECh. 15.2 - Prob. 6ECh. 15.2 - Prob. 7ECh. 15.2 - Prob. 8ECh. 15.2 - Prob. 9ECh. 15.2 - Prob. 10ECh. 15.2 - Prob. 11ECh. 15.2 - Prob. 12ECh. 15.2 - Prob. 13ECh. 15.2 - Prob. 14ECh. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - Prob. 18ECh. 15.2 - Prob. 19ECh. 15.2 - Prob. 20ECh. 15.2 - Prob. 21ECh. 15.2 - Prob. 22ECh. 15.2 - Prob. 23ECh. 15.2 - Prob. 24ECh. 15.2 - Prob. 25ECh. 15.2 - Prob. 26ECh. 15.2 - Prob. 27ECh. 15.2 - Prob. 28ECh. 15.2 - Prob. 29ECh. 15.2 - Prob. 30ECh. 15.2 - Prob. 31ECh. 15.2 - Prob. 32ECh. 15.2 - Prob. 33ECh. 15.2 - Prob. 34ECh. 15.2 - Prob. 35ECh. 15.2 - Prob. 36ECh. 15.2 - Prob. 37ECh. 15.2 - Prob. 38ECh. 15.2 - Prob. 39ECh. 15.2 - Prob. 40ECh. 15.2 - Prob. 41ECh. 15.2 - Prob. 42ECh. 15.2 - Prob. 43ECh. 15.2 - Prob. 44ECh. 15.2 - Prob. 45ECh. 15.2 - Prob. 46ECh. 15.2 - Prob. 47ECh. 15.2 - Prob. 48ECh. 15.2 - Prob. 49ECh. 15.2 - Prob. 50ECh. 15.2 - Prob. 51ECh. 15.3 - Prob. 1PQCh. 15.3 - Prob. 2PQCh. 15.3 - Prob. 3PQCh. 15.3 - Prob. 4PQCh. 15.3 - Prob. 5PQCh. 15.3 - Prob. 1ECh. 15.3 - Prob. 2ECh. 15.3 - Prob. 3ECh. 15.3 - Prob. 4ECh. 15.3 - Prob. 5ECh. 15.3 - Prob. 6ECh. 15.3 - Prob. 7ECh. 15.3 - Prob. 8ECh. 15.3 - Prob. 9ECh. 15.3 - Prob. 10ECh. 15.3 - Prob. 11ECh. 15.3 - Prob. 12ECh. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - Prob. 15ECh. 15.3 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Prob. 18ECh. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Prob. 22ECh. 15.3 - Prob. 23ECh. 15.3 - Prob. 24ECh. 15.3 - Prob. 25ECh. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.3 - Prob. 29ECh. 15.3 - Prob. 30ECh. 15.3 - Prob. 31ECh. 15.3 - Prob. 32ECh. 15.3 - Prob. 33ECh. 15.3 - Prob. 34ECh. 15.3 - Prob. 35ECh. 15.3 - Prob. 36ECh. 15.3 - Prob. 37ECh. 15.3 - Prob. 38ECh. 15.3 - Prob. 39ECh. 15.3 - Prob. 40ECh. 15.3 - Prob. 41ECh. 15.3 - Prob. 42ECh. 15.3 - Prob. 43ECh. 15.3 - Prob. 44ECh. 15.3 - Prob. 45ECh. 15.3 - Prob. 46ECh. 15.3 - Prob. 47ECh. 15.3 - Prob. 48ECh. 15.3 - Prob. 49ECh. 15.3 - Prob. 50ECh. 15.3 - Prob. 51ECh. 15.3 - Prob. 52ECh. 15.3 - Prob. 53ECh. 15.3 - Prob. 54ECh. 15.3 - Prob. 55ECh. 15.3 - Prob. 56ECh. 15.3 - Prob. 57ECh. 15.3 - Prob. 58ECh. 15.3 - Prob. 59ECh. 15.3 - Prob. 60ECh. 15.3 - Prob. 61ECh. 15.3 - Prob. 62ECh. 15.3 - Prob. 63ECh. 15.3 - Prob. 64ECh. 15.3 - Prob. 65ECh. 15.3 - Prob. 66ECh. 15.3 - Prob. 67ECh. 15.3 - Prob. 68ECh. 15.3 - Prob. 69ECh. 15.3 - Prob. 70ECh. 15.3 - Prob. 71ECh. 15.3 - Prob. 72ECh. 15.3 - Prob. 73ECh. 15.3 - Prob. 74ECh. 15.3 - Prob. 75ECh. 15.3 - Prob. 76ECh. 15.3 - Prob. 77ECh. 15.3 - Prob. 78ECh. 15.3 - Prob. 79ECh. 15.3 - Prob. 80ECh. 15.4 - Prob. 1PQCh. 15.4 - Prob. 2PQCh. 15.4 - Prob. 3PQCh. 15.4 - Prob. 4PQCh. 15.4 - Prob. 5PQCh. 15.4 - Prob. 6PQCh. 15.4 - Prob. 1ECh. 15.4 - Prob. 2ECh. 15.4 - Prob. 3ECh. 15.4 - Prob. 4ECh. 15.4 - Prob. 5ECh. 15.4 - Prob. 6ECh. 15.4 - Prob. 7ECh. 15.4 - Prob. 8ECh. 15.4 - Prob. 9ECh. 15.4 - Prob. 10ECh. 15.4 - Prob. 11ECh. 15.4 - Prob. 12ECh. 15.4 - Prob. 13ECh. 15.4 - Prob. 14ECh. 15.4 - Prob. 15ECh. 15.4 - Prob. 16ECh. 15.4 - Prob. 17ECh. 15.4 - Prob. 18ECh. 15.4 - Prob. 19ECh. 15.4 - Prob. 20ECh. 15.4 - Prob. 21ECh. 15.4 - Prob. 22ECh. 15.4 - Prob. 23ECh. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - Prob. 27ECh. 15.4 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - Prob. 30ECh. 15.4 - Prob. 31ECh. 15.4 - Prob. 32ECh. 15.4 - Prob. 33ECh. 15.4 - Prob. 34ECh. 15.4 - Prob. 35ECh. 15.4 - Prob. 36ECh. 15.4 - Prob. 37ECh. 15.4 - Prob. 38ECh. 15.4 - Prob. 39ECh. 15.4 - Prob. 40ECh. 15.4 - Prob. 41ECh. 15.4 - Prob. 42ECh. 15.4 - Prob. 43ECh. 15.4 - Prob. 44ECh. 15.4 - Prob. 45ECh. 15.4 - Prob. 46ECh. 15.4 - Prob. 47ECh. 15.5 - Prob. 1PQCh. 15.5 - Prob. 2PQCh. 15.5 - Prob. 3PQCh. 15.5 - Prob. 4PQCh. 15.5 - Prob. 5PQCh. 15.5 - Prob. 1ECh. 15.5 - Prob. 2ECh. 15.5 - Prob. 3ECh. 15.5 - Prob. 4ECh. 15.5 - Prob. 5ECh. 15.5 - Prob. 6ECh. 15.5 - Prob. 7ECh. 15.5 - Prob. 8ECh. 15.5 - Prob. 9ECh. 15.5 - Prob. 10ECh. 15.5 - Prob. 11ECh. 15.5 - Prob. 12ECh. 15.5 - Prob. 13ECh. 15.5 - Prob. 14ECh. 15.5 - Prob. 15ECh. 15.5 - Prob. 16ECh. 15.5 - Prob. 17ECh. 15.5 - Prob. 18ECh. 15.5 - Prob. 19ECh. 15.5 - Prob. 20ECh. 15.5 - Prob. 21ECh. 15.5 - Prob. 22ECh. 15.5 - Prob. 23ECh. 15.5 - Prob. 24ECh. 15.5 - Prob. 25ECh. 15.5 - Prob. 26ECh. 15.5 - Prob. 27ECh. 15.5 - Prob. 28ECh. 15.5 - Prob. 29ECh. 15.5 - Prob. 30ECh. 15.5 - Prob. 31ECh. 15.5 - Prob. 32ECh. 15.5 - Prob. 33ECh. 15.5 - Prob. 34ECh. 15.5 - Prob. 35ECh. 15.5 - Prob. 36ECh. 15.5 - Prob. 37ECh. 15.5 - Prob. 38ECh. 15.5 - Prob. 39ECh. 15.5 - Prob. 40ECh. 15.5 - Prob. 41ECh. 15.5 - Prob. 42ECh. 15.5 - Prob. 43ECh. 15.5 - Prob. 44ECh. 15.5 - Prob. 45ECh. 15.5 - Prob. 46ECh. 15.5 - Prob. 47ECh. 15.5 - Prob. 48ECh. 15.5 - Prob. 49ECh. 15.5 - Prob. 50ECh. 15.5 - Prob. 52ECh. 15.5 - Prob. 53ECh. 15.5 - Prob. 54ECh. 15.5 - Prob. 55ECh. 15.5 - Prob. 56ECh. 15.5 - Prob. 57ECh. 15.5 - Prob. 58ECh. 15.5 - Prob. 59ECh. 15.5 - Prob. 60ECh. 15.5 - Prob. 61ECh. 15.5 - Prob. 62ECh. 15.5 - Prob. 63ECh. 15.5 - Prob. 64ECh. 15.5 - Prob. 65ECh. 15.5 - Prob. 66ECh. 15.5 - Prob. 67ECh. 15.5 - Prob. 68ECh. 15.5 - Prob. 69ECh. 15.5 - Prob. 70ECh. 15.5 - Prob. 71ECh. 15.5 - Prob. 72ECh. 15.5 - Prob. 73ECh. 15.5 - Prob. 74ECh. 15.5 - Prob. 75ECh. 15.5 - Prob. 76ECh. 15.5 - Prob. 77ECh. 15.6 - Prob. 1PQCh. 15.6 - Prob. 2PQCh. 15.6 - Prob. 3PQCh. 15.6 - Prob. 4PQCh. 15.6 - Prob. 5PQCh. 15.6 - Prob. 6PQCh. 15.6 - Prob. 1ECh. 15.6 - Prob. 2ECh. 15.6 - Prob. 3ECh. 15.6 - Prob. 4ECh. 15.6 - Prob. 5ECh. 15.6 - Prob. 6ECh. 15.6 - Prob. 7ECh. 15.6 - Prob. 8ECh. 15.6 - Prob. 9ECh. 15.6 - Prob. 10ECh. 15.6 - Prob. 11ECh. 15.6 - Prob. 12ECh. 15.6 - Prob. 13ECh. 15.6 - Prob. 14ECh. 15.6 - Prob. 15ECh. 15.6 - Prob. 16ECh. 15.6 - Prob. 17ECh. 15.6 - Prob. 18ECh. 15.6 - Prob. 19ECh. 15.6 - Prob. 20ECh. 15.6 - Prob. 21ECh. 15.6 - Prob. 22ECh. 15.6 - Prob. 23ECh. 15.6 - Prob. 24ECh. 15.6 - Prob. 25ECh. 15.6 - Prob. 26ECh. 15.6 - Prob. 27ECh. 15.6 - Prob. 28ECh. 15.6 - Prob. 29ECh. 15.6 - Prob. 30ECh. 15.6 - Prob. 31ECh. 15.6 - Prob. 32ECh. 15.6 - Prob. 33ECh. 15.6 - Prob. 34ECh. 15.6 - Prob. 35ECh. 15.6 - Prob. 36ECh. 15.6 - Prob. 37ECh. 15.6 - Prob. 38ECh. 15.6 - Prob. 39ECh. 15.6 - Prob. 40ECh. 15.6 - Prob. 41ECh. 15.6 - Prob. 42ECh. 15.6 - Prob. 43ECh. 15.6 - Prob. 44ECh. 15.6 - Prob. 45ECh. 15.6 - Prob. 46ECh. 15.6 - Prob. 47ECh. 15.6 - Prob. 48ECh. 15.6 - Prob. 49ECh. 15.6 - Prob. 50ECh. 15.6 - Prob. 51ECh. 15.6 - Prob. 52ECh. 15.6 - Prob. 53ECh. 15.6 - Prob. 54ECh. 15.6 - Prob. 55ECh. 15.7 - Prob. 1PQCh. 15.7 - Prob. 2PQCh. 15.7 - Prob. 3PQCh. 15.7 - Prob. 1ECh. 15.7 - Prob. 2ECh. 15.7 - Prob. 3ECh. 15.7 - Prob. 4ECh. 15.7 - Prob. 5ECh. 15.7 - Prob. 6ECh. 15.7 - Prob. 7ECh. 15.7 - Prob. 8ECh. 15.7 - Prob. 9ECh. 15.7 - Prob. 10ECh. 15.7 - Prob. 11ECh. 15.7 - Prob. 12ECh. 15.7 - Prob. 13ECh. 15.7 - Prob. 14ECh. 15.7 - Prob. 15ECh. 15.7 - Prob. 16ECh. 15.7 - Prob. 17ECh. 15.7 - Prob. 18ECh. 15.7 - Prob. 19ECh. 15.7 - Prob. 20ECh. 15.7 - Prob. 21ECh. 15.7 - Prob. 22ECh. 15.7 - Prob. 23ECh. 15.7 - Prob. 24ECh. 15.7 - Prob. 25ECh. 15.7 - Prob. 26ECh. 15.7 - Prob. 27ECh. 15.7 - Prob. 28ECh. 15.7 - Prob. 29ECh. 15.7 - Prob. 30ECh. 15.7 - Prob. 31ECh. 15.7 - Prob. 32ECh. 15.7 - Prob. 33ECh. 15.7 - Prob. 34ECh. 15.7 - Prob. 35ECh. 15.7 - Prob. 36ECh. 15.7 - Prob. 37ECh. 15.7 - Prob. 38ECh. 15.7 - Prob. 39ECh. 15.7 - Prob. 40ECh. 15.7 - Prob. 41ECh. 15.7 - Prob. 42ECh. 15.7 - Prob. 43ECh. 15.7 - Prob. 44ECh. 15.7 - Prob. 45ECh. 15.7 - Prob. 46ECh. 15.7 - Prob. 47ECh. 15.7 - Prob. 48ECh. 15.7 - Prob. 49ECh. 15.7 - Prob. 50ECh. 15.7 - Prob. 51ECh. 15.7 - Prob. 52ECh. 15.7 - Prob. 53ECh. 15.7 - Prob. 54ECh. 15.7 - Prob. 55ECh. 15.7 - Prob. 56ECh. 15.7 - Prob. 57ECh. 15.7 - Prob. 58ECh. 15.7 - Prob. 59ECh. 15.7 - Prob. 60ECh. 15.7 - Prob. 61ECh. 15.7 - Prob. 62ECh. 15.7 - Prob. 63ECh. 15.7 - Prob. 64ECh. 15.8 - Prob. 1PQCh. 15.8 - Prob. 2PQCh. 15.8 - Prob. 3PQCh. 15.8 - Prob. 1ECh. 15.8 - Prob. 2ECh. 15.8 - Prob. 3ECh. 15.8 - Prob. 4ECh. 15.8 - Prob. 5ECh. 15.8 - Prob. 6ECh. 15.8 - Prob. 7ECh. 15.8 - Prob. 8ECh. 15.8 - Prob. 9ECh. 15.8 - Prob. 10ECh. 15.8 - Prob. 11ECh. 15.8 - Prob. 12ECh. 15.8 - Prob. 13ECh. 15.8 - Prob. 14ECh. 15.8 - Prob. 15ECh. 15.8 - Prob. 16ECh. 15.8 - Prob. 17ECh. 15.8 - Prob. 18ECh. 15.8 - Prob. 19ECh. 15.8 - Prob. 20ECh. 15.8 - Prob. 21ECh. 15.8 - Prob. 22ECh. 15.8 - Prob. 23ECh. 15.8 - Prob. 24ECh. 15.8 - Prob. 25ECh. 15.8 - Prob. 26ECh. 15.8 - Prob. 27ECh. 15.8 - Prob. 28ECh. 15.8 - Prob. 29ECh. 15.8 - Prob. 30ECh. 15.8 - Prob. 31ECh. 15.8 - Prob. 32ECh. 15.8 - Prob. 33ECh. 15.8 - Prob. 34ECh. 15.8 - Prob. 35ECh. 15.8 - Prob. 36ECh. 15.8 - Prob. 37ECh. 15.8 - Prob. 38ECh. 15.8 - Prob. 39ECh. 15.8 - Prob. 40ECh. 15.8 - Prob. 41ECh. 15.8 - Prob. 42ECh. 15.8 - Prob. 43ECh. 15.8 - Prob. 44ECh. 15.8 - Prob. 45ECh. 15.8 - Prob. 46ECh. 15.8 - Prob. 47ECh. 15.8 - Prob. 48ECh. 15.8 - Prob. 49ECh. 15.8 - Prob. 50ECh. 15.8 - Prob. 51ECh. 15.8 - Prob. 52ECh. 15.8 - Prob. 53ECh. 15.8 - Prob. 54ECh. 15.8 - Prob. 55ECh. 15.8 - Prob. 56ECh. 15 - Prob. 1CRECh. 15 - Prob. 2CRECh. 15 - Prob. 3CRECh. 15 - Prob. 4CRECh. 15 - Prob. 5CRECh. 15 - Prob. 6CRECh. 15 - Prob. 7CRECh. 15 - Prob. 8CRECh. 15 - Prob. 9CRECh. 15 - Prob. 10CRECh. 15 - Prob. 11CRECh. 15 - Prob. 12CRECh. 15 - Prob. 13CRECh. 15 - Prob. 14CRECh. 15 - Prob. 15CRECh. 15 - Prob. 16CRECh. 15 - Prob. 17CRECh. 15 - Prob. 18CRECh. 15 - Prob. 19CRECh. 15 - Prob. 20CRECh. 15 - Prob. 21CRECh. 15 - Prob. 22CRECh. 15 - Prob. 23CRECh. 15 - Prob. 24CRECh. 15 - Prob. 25CRECh. 15 - Prob. 26CRECh. 15 - Prob. 27CRECh. 15 - Prob. 28CRECh. 15 - Prob. 29CRECh. 15 - Prob. 30CRECh. 15 - Prob. 31CRECh. 15 - Prob. 32CRECh. 15 - Prob. 33CRECh. 15 - Prob. 34CRECh. 15 - Prob. 35CRECh. 15 - Prob. 36CRECh. 15 - Prob. 37CRECh. 15 - Prob. 38CRECh. 15 - Prob. 39CRECh. 15 - Prob. 40CRECh. 15 - Prob. 41CRECh. 15 - Prob. 42CRECh. 15 - Prob. 43CRECh. 15 - Prob. 44CRECh. 15 - Prob. 45CRECh. 15 - Prob. 46CRECh. 15 - Prob. 47CRECh. 15 - Prob. 48CRECh. 15 - Prob. 49CRECh. 15 - Prob. 50CRECh. 15 - Prob. 51CRECh. 15 - Prob. 52CRECh. 15 - Prob. 53CRECh. 15 - Prob. 54CRECh. 15 - Prob. 55CRECh. 15 - Prob. 56CRECh. 15 - Prob. 57CRECh. 15 - Prob. 58CRECh. 15 - Prob. 59CRECh. 15 - Prob. 60CRECh. 15 - Prob. 61CRECh. 15 - Prob. 62CRECh. 15 - Prob. 63CRE
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- Differentiate. f (x) = 5arrow_forwardUse the definition of the derivative to find the equations of the lines described in Exercises 59–64. 59. The tangent line to f(x) = x² at x = -3. 60. The tangent line to f(x) = x² at x = 0. 61. The line tangent to the graph of y = 1 – x – x² at the point (1, –1). 62. The line tangent to the graph of y = 4x + 3 at the point (-2, –5). %3D 63. The line that passes through the point (3, 2) and is parallel to the tangent line to f(x) = - at x = -1. 64. The line that is perpendicular to the tangent line to f (x) = x4 +1 at x = 2 and also passes through the point (–1, 8). For each function f graphed in Exercises 65–68, determine the values of x at which f fails to be continuous and/or differen- tiable. At such points, determine any left or right continuity or differentiability. Sketch secant lines supporting your answers.arrow_forwardIn Exercises 67–73, estimate derivatives using the symmetric difference quotient (SDQ), defined as the average of the difference quotients at h and -h: 1(f(a + h) – f(a) f (a – h) – f(a) -h f (a + h) – f(a – h) | 1 2h The SDQ usually gives a better approximation to the derivative than the difference quotient. 67. The vapor pressure of water at temperature T (in kelvins) is the atmospheric pressure P at which no net evaporation takes place. Use the following table to estimate P'(T) for T = 303, 313, 323, 333, 343 by computing the SDQ given by Eq. (1) with h = 10. т (К) 293 303 313 323 333 343 353 P (atm) 0.0278 0.0482 0.0808 0.1311 0.2067 0.3173 0.4754arrow_forward
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