don't use the quotient rule

Don't use the quotient rule, use logarithmic differentiation. We will first let y=sqrt((x-1)/(x^4+1)) and then take the natural log both sides. Then we can use implicit differentiation. : )
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[@tibetsonmez6664]

I just love it when he doesn't cut the improper intros

[@stephenbeck7222]

0:50 basically “uh let’s just do the problem ok?”

[@neilgerace355]

He is using "implicit introduction"

[@DxRzYT]

LOL, he's a legend

[@Lolwutdesu9000]

I was wondering whether or not this was just leading to a joke or something... But I guess he just couldn't be bothered to do the editing. Or am I missing something? New to the channel.

[@HappyGardenOfLife]

@@Lolwutdesu9000 watch his tips for math youtubers video and you'll understand. It's definitely not out of laziness. Students just like to see his mistakes left in.

[@anthonyholmes8114]

My maths professor taught us the quotient rule, then immediately said "I don't use it though; it's ugly".

[@robertlunderwood]

I just take the denominator, raise it to the -1 power, and use the product and chain rules. I don't have to worry about order that way.

[@randomjin9392]

.. or just square, cross-multiply and get y²(x⁴+1)=x-1 and differentiate! 2yy'(x⁴+1)+4x³y²=1 and the rest is fraction arithmetic.

[@NayimKay]

No quotient rule?
Cool, I'll make it (x-1)(x^4+1)^-1 then ill use the product rule.

[@two697]

I never use the quotient rule. I just write f(x)/g(x) as f(x)g(x)^(-1) and differentiate using the product rule. In this case, I probably would've squared first

[@AchtungBaby77]

You're basically still doing the quotient rule, just in an indirect way.

[@two697]

@@AchtungBaby77 yh it is but I don't actually have to remember the quotient rule

[@fabiotiburzi]

Today english is out of focus. Sometimes it just happen

[@bprpcalculusbasics]

?

[@hydropage2855]

@@bprpcalculusbasics He means how you didn’t cut out the times you messed up in the beginning

[@robertveith6383]

"English" is capitalized.

[@roberto.abella]

Nice! You seem to be a little bit off.. I hope you're doing well. Thanks for the video!!

[@Zeusbeer]

Can we havs a hard and interesting integral again? :)

[@antoa.2942]

I have just watched the 100 integral video. It's so nice

[@bradley9856]

I had totally forgotten about differentiating ln where you have to multiply by the derivative of the bracket, I also would have written it as 1/2ln(x-1)-(x^4 +1) which is probably wrong. Great video as always :)

[@hata6290]

BEAUTIFUL video :)

[@hata6290]

By a very beautiful man 😘

[@cycklist]

Mate, editing!

[@jamescollier3]

that was funny and cute

[@martimlopes8833]

Isn't it problematic to turn y = √(...) into lny = ln(√(...)), since y could originally be equal to zero, and now it can't?

[@jiugo]

Found this just at the RIGHT time. Thank you

[@darkpoision7269]

yo the intro goes hard

[@user-wu8yq1rb9t]

Cut?!
I don't care about it at all (even it's more real, just like we are present in the class).
The important thing is just Math ... And it was great as always.
Thank you so much dear Teacher 💖

[@canys24bb78]

Amazing 😀👍🏽

[@Violent_Sea_Urchin]

Dude this was meant to simplify the expression, but the final result looks even more confusing haha

[@phxbaka4356]

he isnt simplifying the expression though? hes differentiating it

[@agrajyadav2951]

Oh yes sir, let's see

[@finmat95]

Ok, anyway i'm going to use the quotient rule

[@Lolwutdesu9000]

Guy looks a bit stressed 😔

[@douglaslee7034]

Hahhahahahahahaahah

[@ieatgarbage8771]

A day early xdd