Significance of the second derivative

  • #1

Homework Statement



Let y = s(t) represent the number of students who have contracted measles at time t (days). Give an interpretation for each condition:

e) s' = 0, s" > 0

The Attempt at a Solution



This seems counterintuitive to me, to think that the second derivative is also not zero. In the context of the problem, what does this mean? So far I've said that no students are contracting measles anymore, but I don't know where s" fits in here.
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
well for a start what does s'=0 tells you about the problem?

its not counter-intuitive to have s" non-zero whilst s'=0. If s" is non-zero it simply means the value of s' is changing

HINT: if you know s'=0, and s" is non zero, then s' must be changing from either (+ve to -ve) or (-ve to +ve)
 

Related Threads on Significance of the second derivative

Replies
2
Views
3K
  • Last Post
Replies
1
Views
901
Replies
9
Views
474
Replies
5
Views
2K
  • Last Post
Replies
5
Views
20K
Replies
5
Views
2K
  • Last Post
Replies
3
Views
959
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
874
  • Last Post
Replies
4
Views
3K
Top