Calculus - 2nd Derivative with Quotient Rule

Taking the 2nd derivative using the quotient rule technique

[ulciaulala]

this helped a lot!! thank you. struggled with exact problem for hours...

[llawson]

Can you break down where the 4 came from in the second derivative?

[feather]

thank you! this honestly saved me and i wish i had found your video first, because it's the most helpful out of all the ones i watched

[jung-ahchoi]

You sir have saved my grade in calculus. I thank you from the bottom of my heart

[hhhqqq]

im crying because how beautifully it worked out at the end

[asssault]

This saved me from my prelims examination that I took earlier. Thank you so much.

[OMGWTFRAGEFACE]

What the hell is this "chain rule" you just toss in there

[mitchcurreri]

Oh my god, thank you so much for making this video

[mountain_man_mathew]

I see why you have your doctorate. Very helpful, thanks for not skipping steps. Cheers!

[svenmcgarvey]

I was taught that the quotient rule was the bottom times the derivative of the top minus the top times the derivative of the bottom all over the bottom squared. Is this wrong?

[amosrealtytn]

darn near exact same problem kept me struggling for hours, and you explained it in minutes. Thank you so much!

[TheMrSidekick]

THANK I've been searching online for someone that went completely STEP by STEP because I had always been confused on solving these. You were the first video I have found that someone explained each step, but it's too late because I'm failing calculus already since we're half way in the semester so I need to withdraw or get an F. :( you are a life saver though!

[karissaemmons]

This was really helpful thanks! I kept wanting to divide the common denominator instead of factoring it out of the numerator first.

[MegaCooleva]

world's must boring voice, but ty this helped

[Lukrengg]

THANKS A <3 HELPED ME IN MY EXAMS EVEN IF THIS WAS 7 YRS AGO <3 THANKSSSS!!!!
💪💪💪💪

[xavierowens]

For the chain rule why do we need to get the derivative of the constant for the bottom function?

[juanamaria]

I thought you will do the product rule, quotient and chain rule just to get the first derivative then do whatever you need to do to the second derivative. Was it just simplification of the whole equation? The first one

[codyphillips]

Thanks man, helping me with my summer cal course

[Bentami]

You are now seated among many other youtube professors in my tutor heaven.

[Rite]

sat here stuck at the part of factoring and had no idea how to proceed, but this example really helped me :)