So I did a quizz and my answer is incorrect, I want to analyze it but I don’t know if I’m correct or not since it's tricky. It says: On the interval [-6,6] indicate if a global maximum or minimum exists. The function is: y=-25x/(x^2+25)… how do I solve this?
#Absoluta maxima.
marble lark
zinc totemBOT
minor gate
do you know how to find local extrema
marble lark
do you know how to find local extrema
relative maximum and minima? yeah, but how it relates with global?
minor gate
just compare all of them
whichever is the biggest is the global max
whichever is the smallest is the global min
dont forget to check endpoints as well
marble lark
so you are telling me to solve the equation, then I get the relatives and compare them to the interval or how? my bad, i’m bad at math
minor gate
step 1: find local extrema using first derivative test or whatever you'd like
step 2: find the output of the function at the local extrema and on the endpoints of the interval
step 3: compare these outputs. The biggest one corresponds to the global (on the given interval) maximum.
marble lark
Ohhh, now I understand, thank you so much
minor gate
if your problem is solved please close the thread with .close
minor gate
Idk show your work
Just looking at the graph I’m going to go with no
(Blue lines represent your bounds)
You probably did your test for local extrema incorrectly
,w differentiate y = -25x/(x^2+25)
wispy jewelBOT
minor gate
Is this what you got for your derivative
marble lark
No, im going to try again
sharp shore
.close