Need Help, Stuck on Calc 1 Homework!!

Find the critical points of and use the second derivative test to classify them as relative maxima or relative minima, where




I'm completely stuck with this question; it is much harder than the ones on the exam. I'd appreciate anyone who can point me in the right direction as to where/how to start.

Find the critical points of and use the second derivative test to classify them as relative maxima or relative minima, where I'm completely stuck with this question; it is much harder than the ones on the exam. I'd appreciate anyone who can point me in the right direction as to where/how to start.

Do you even mathematica, bro?

Do you even mathematica, bro?

If this was stack overflow he'd now comment "Figured it out" but not explain it.

If this was stack overflow he'd now comment "Figured it out" but not explain it.

If this was Stack Overflow he'd be on the wrong website.

If this was Stack Overflow he'd be on the wrong website.

Wouldn't be the first time someone made that mistake

If this was stack overflow he'd now comment "Figured it out" but not explain it.

Well, at least you get to know that your obscure compiler error message that you've battled for days probably has a solution. You're bound to find it if you just give it another day or two... Maybe.

I think the closest analogy of the above that I've seen in math comes from a mysterious Math Underflow user named Cleo. Specifically, Cleo would repeatedly post exact solutions to tricky nonstandard integrals that Mathematica/Maple/etc couldn't handle, without explanation, hours or days before anyone else managed to solve them. Sufficient to annoy a portion of the site's users, apparently:

https://math.stackexchange.com/quest.../563063#563063

This style of answer is complete disrespect. This situation seems for me like this: Cleo found interesting problem, and solved it. He is lazy to write the solution but want to show how clever he is, so decided to post only the final result. The reference to the definition of golden ratio made me laugh. If OP asks question of such level he definitely familiar with this constant. Note that this is not a single example. ALL Cleo's answer are of this style, and even after polite ephasis that these answers is not what OP's wanted he continues to post only final results!

Answers such as this add no value to the site - simply stating a number out of thin air is not 'mathematics'.

I agree with Carl - What good does stroking your ego do in terms of teaching people how to solve these problems? Also, this doesn't even answer the question: "How [do I] evaluate this integral?"

Thank goodness I've seen less and less of the Cleo type person on help forums but it's almost like even in a super well-meaning community, there's always that toxic dude who just gets joy out of making other people's lives hard.

I would argue that he, by definition, is a great mathematician, but a horrible one at the same time. If he was truly as good as he seems to claim to be, it would be trivial for him to write up even the most basic solution. Hell, just take a picture of how you solved it and upload it, show the code, anything.