don't use the quotient rule

Рет қаралды 17,019

2 жыл бұрын

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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Пікірлер: 38

@tibetsonmez6664 2 жыл бұрын

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

@stephenbeck7222 2 жыл бұрын

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

@neilgerace355 2 жыл бұрын

He is using "implicit introduction"

@DxRzYT 2 жыл бұрын

LOL, he's a legend

@Lolwutdesu9000 2 жыл бұрын

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 2 жыл бұрын

@@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 2 жыл бұрын

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

@robertlunderwood 2 жыл бұрын

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.

@NayimKay 2 жыл бұрын

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

@randomjin9392 2 жыл бұрын

.. 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.

@two697 2 жыл бұрын

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 2 жыл бұрын

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

@two697 2 жыл бұрын

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

@roberto.abella 2 жыл бұрын

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

@Zeusbeer 2 жыл бұрын

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

@fabiotiburzi 2 жыл бұрын

Today english is out of focus. Sometimes it just happen

@bprpcalculusbasics 2 жыл бұрын

@hydropage2855 2 жыл бұрын

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

@robertveith6383 2 жыл бұрын

"English" is capitalized.

@antoa.2942 2 жыл бұрын

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

@jiugo 2 жыл бұрын

Found this just at the RIGHT time. Thank you

@hata6290 2 жыл бұрын

BEAUTIFUL video :)

@hata6290 2 жыл бұрын

By a very beautiful man 😘

@canys24bb78 2 жыл бұрын

Amazing 😀👍🏽

@cycklist 2 жыл бұрын

Mate, editing!

@jamescollier3 2 жыл бұрын

that was funny and cute

@bradley9856 2 жыл бұрын

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 :)

@darkpoision7269 Жыл бұрын

yo the intro goes hard

@martimlopes8833 2 жыл бұрын

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

@agrajyadav2951 2 жыл бұрын

Oh yes sir, let's see

@Violent_Sea_Urchin 2 жыл бұрын

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

@phxbaka4356 2 жыл бұрын

he isnt simplifying the expression though? hes differentiating it

@user-wu8yq1rb9t 2 жыл бұрын

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 💖