Finding Local Max/Min with f(x)= x + 9/x: Explained

  • Thread starter Thread starter wr1015
  • Start date Start date
  • Tags Tags
    Local
AI Thread Summary
The discussion focuses on finding local maxima and minima for the function f(x) = x + 9/x. The user seeks clarification on how to express where the function is decreasing, questioning if the interval [-3,0)U(0,3] is correct due to the vertical asymptote at x=0. They calculate f(-3) and conclude that it results in a local minimum at the point (-3, -6). The conversation highlights the importance of understanding function behavior around asymptotes and critical points. Overall, the analysis leads to identifying local extrema effectively.
wr1015
Messages
53
Reaction score
0
ok so in the problem f(x)= x + 9/x, I know how to write where f is increasing, but how do you write how it's decreasing? Is it written as [-3,0)U(0,3]? since x=0 is a vertical asymptote wouldn't all the x-values between -3 and 3 be as close to 0 as possible?
 
Physics news on Phys.org
wouldnt f(-3) = -3 + 9 / (-3) = -3 -3 = -6
 
mathmike said:
wouldnt f(-3) = -3 + 9 / (-3) = -3 -3 = -6

yeah that's my local min at (-3,-6).
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

A How to Find Critical Points of function f(x,y,z)
Replies
7
Views
1K
MHB Is f(x)=ln(x)/x Increasing or Decreasing?
Replies
1
Views
2K
I Understanding a proof of inexistence of max nor min
Replies
4
Views
1K
Solving the Weight Puzzle: Explaining Why and How
Replies
2
Views
1K
Electrostatics: graphing/field vectors
Replies
8
Views
1K
Finding x/y-intercepts, asymptotes, derivatives, and max min
Replies
4
Views
2K
Prove that ##\lim\limits_{x \to \infty} f(x) = 0##
Replies
3
Views
507
F(x, y) Min Max problem with boundaries
Replies
30
Views
3K
Python Finding a local max/min of a function in Python
Replies
7
Views
5K
Max. and Min. values - I don't understand
Replies
10
Views
3K

Hot Threads

Recent Insights

Back
Top