We are interested in when the second derivative is equal to zero. This actually happens a few times with our data set, but there is only one equivalence point. With our data there are a number of consecutive places early on where the second derivative is zero. To figure out why this happens, suppose we have a function whose second derivative is always zero. So we have dy 0. What is for this function? fip dx dy dr? With that derivative, what kind of function must y be? Conclusion: If f(x) is a function on an interval, then f"(x) = on that interval.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 3ECP: Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is...
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Left Column is mL of NaOH

Right Column is pH level

We are interested in when the second derivative is equal to zero. This actually happens a few
times with our data set, but there is only one equivalence point. With our data there are a
number of consecutive places early on where the second derivative is zero. To figure out why
this happens, suppose we have a function whose second derivative is always zero. So we have
dy
= 0. What is
dx?
dy
for this function?
dx
With that derivative, what kind of function must y be? Conclusion: If f(x) is a
function on an interval, then f"(x) =
on that interval.
Transcribed Image Text:We are interested in when the second derivative is equal to zero. This actually happens a few times with our data set, but there is only one equivalence point. With our data there are a number of consecutive places early on where the second derivative is zero. To figure out why this happens, suppose we have a function whose second derivative is always zero. So we have dy = 0. What is dx? dy for this function? dx With that derivative, what kind of function must y be? Conclusion: If f(x) is a function on an interval, then f"(x) = on that interval.
mL of NaOH pH
2.22
5
2.83
3.09
10
3.23
13
3.41
15
3.53
18
3.71
20
3.83
25
4.24
27
4.51
28
4.72
29
5.1
30
10.66
31
11.37
33
11.77
35
11.96
40
12.22
Transcribed Image Text:mL of NaOH pH 2.22 5 2.83 3.09 10 3.23 13 3.41 15 3.53 18 3.71 20 3.83 25 4.24 27 4.51 28 4.72 29 5.1 30 10.66 31 11.37 33 11.77 35 11.96 40 12.22
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