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anonymous
 one year ago
Find the absolute extrema of...
anonymous
 one year ago
Find the absolute extrema of...

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I already solved for the derivative and got... \[\frac{ 1 }{ 3 }x^{\frac{ 2 }{ 3 }}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm just not exactly sure what to do next.

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3by the Weierstrass theorem we need of a closed interval of the real line

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can't say that I've learned about the Weierstrass theorem.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that where you just find all the critical points of the closed interval and determine which is the max?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Awesome! One question though, how would I find the critical points of my derivative since I can't really isolate x (at least from what I can see)?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3your first derivative is always positive, which means that your function is an increasing function

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3of course at the point \(x=0\) your first derivative is not defined

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it would have an asymptote?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3no, since the asymptotes occurs at point \(x\) such that the function (not the first derivative) becomes an infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, I think I understand.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Since my function is an increasing function, is there a way to have specific critical points? (like 1,2,3..)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Or would it just be infinity?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.3as I said before, we need of a closed interval. For example if we have this interval: \([2,3]\) then we have to evaluate \(f(2),f(3)\). We will conclude that \(f(2)\) is the point of minimum, and \(f(3)\) is the point of maximum for function \(f\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay. Got it. Thank you! :)
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