Finding the maximum of a function

ratio
Messages
2
Reaction score
0
Screenshot (200).png

Why does f attain its local maximum at r' in (p,q). Is it because we have f(x)<= f(r') for all x in (p,p+delta)?
 
Physics news on Phys.org
ratio said:
View attachment 292298
Why does f attain its local maximum at r' in (p,q). Is it because we have f(x)<= f(r') for all x in (p,p+delta)?
We have equality, but, yes.
 
Thanks for you answer^^
 

Similar threads

I Why prove Taylor's theorem with p(x)=q(x)−((b−a)^n/(b−x)^n)q(a)?
Replies
9
Views
3K
I Understanding a proof of inexistence of max nor min
Replies
4
Views
1K
B How do I invert this exponential function?
Replies
3
Views
3K
I Express the limit as a definite integral
Replies
16
Views
4K
MHB What Does the Intermediate Value Theorem Guarantee for a Continuous Function?
Replies
1
Views
2K
I What Are Common Misconceptions About the Dirac Delta Function?
Replies
25
Views
3K
MHB What is the Absolute Maximum Value of f in the Function f(x) = ln(x)/x?
Replies
5
Views
2K
I On (real) entire functions and the identity theorem
Replies
2
Views
3K
B Riemann integrability of functions with countably infinitely many dis-
Replies
3
Views
2K
B Some questions to understand Riemann integrability criterion
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top