3: Combining the Chain Rule with the Product Rule

Combining the Chain Rule with the Product Rule

[@leshanavalentine807]

Thank you you have helped me alot, i had been struggling. I realized that you made a mistake with the last part of the answer. Correction (2(2x-1)^4(3x+1)^3(27x-1)

[@gavinohara3945]

It’s always the simple stuff that f’s us up lmao

[@reidmccain6302]

9 years on and your lesson is still helping, thank you!!!

[@blazedones]

Thanks! Best explanation of how to do both rules combined! Appreciate it even 5 years later!

[@SeenTheLight0]

the last part is 27x-1 not 27x+1.

[@teresahartman7673]

You are correct! Thank you for catching my mistake!

[@nanig805]

You are amazing. I never understood how to factor those until now

[@am-cb8vn]

Tm

[@rannaz285]

thank youuuu! i have a test tomorrow and I have been clueless this entire unit and have been watching videos for the past two days and this is the first one that made sense!!

[@emileighnewman9103]

I'm a student at Arkansas State and I finally understand chain rule now. THANK YOU

[@am-cb8vn]

Ikr

[@pgalatioto]

Wow your method is getting through to me, been stressing on this for the last week. Thank you!

[@brandonrock900]

Why is it not (2x-1)^4th power in the final answer? Did she just forget the exponent or did it go away?

[@gamerstar1823]

She forgot it, you can also see that in the following term where the 3 in the exponent stays. If the exponent is 1 you don't have to write it, because x^1=x, or if the base doesn't change if being squared or cubed etc. in any other case you would have to change the term (base) e.g. (2x+3)^2= (2x+3)(2x+3).

[@xJasonsDaMan2]

THANK YOU TERESA. YOUR VIDEO IS THE ONLY ONE THAT HELPED ME WITH A PROBLEM I WAS STUCK ON FOREVER. THANK YOU I APPRECIATE YOU :(

[@wimbledon5353]

Thank you. Explained it better than my book ever could...

[@veronicar9627]

Oh my God, that factoring took me forever until I found this video 😂💛 Thank you sm

[@GoatedGam3r]

This channel is so underrated.

[@vivianagaytan8007]

Also (2x-1)^4?

[@teresahartman7673]

Correct! Thanks for catching my mistake!

[@charlesthomas8375]

Mannnnn I’m sitting here for hours confused

[@rohitg5067]

-6+5 is not 1... it is-1

[@kennyma8526]

LMAO

[@shahmeerkhan8570]

you made two errors: (1) you forgot to write the 4th power in 2(2x-1) in the final two solutions (2) -6 +5 is not +1, its -1

[@michaelzepeda5785]

You saved my life.

[@cboua]

Thanks! Helped a lot with my take home quiz!

[@Joesusas]

is she forgot to write ^4 in (2x-1)^4??????????? answer pls.

[@jorgeandrewguerrero3217]

I could get s far as factoring, then I just kinda assumed my un-factored answer would constitute as complete. Thanks to this my online homework is finally accepting my answers.

[@vinodchaudhary1985]

Thanks ! Nice explanation 😊😊

[@jericoluisanonuevo5611]

thank you, I can finally answer my assignment

[@jenniferboehm4646]

I COULD KISS YOU. I have been stuck on the factoring part of a similar problem and I'm all good now. Thanks!

[@michaelzepeda5785]

fucking same omfg. I wanted to die.

[@Antweezy]

@@michaelzepeda5785 i stil do

[@black91ize]

Woaaaaahhh thaaank youuuuuuu!! Best explanation evaahhh

[@carterspicer9854]

goated video

[@simpleguy1765]

You have an inside, outside (Chain Rule) with (2x-1)^5 as well, no?
Would you not be concerned with them? Because the product rule, disregards finding their derivatives?

[@teresahartman7673]

I'm not sure I entirely understand your first question... But the following questions: you do not disregard finding the derivatives of the inside. You find the derivative of those in the following steps.

[@simpleguy1765]

I believe I grasped the concept! This video was extremely helpful - Thank you!

[@terryrodgers9560]

You are so amazing, thank you

[@iamserano]

you are a life saver......thank you

[@johnharoldbeltran553]

Thank you. It helps me a lot.

[@marklandau365]

10/10. i love you

[@gianverano9]

OMG thanks for this!!! 💖

[@monicamabel6147]

THANK YOU, YOU SAVED MEEE

[@thuytiennguyen7831]

awesome content

[@bigjarth]

thanks teresa

[@rubirubs5306]

Where did put the exponent (4) in the 4th row?

[@maryrachells.escartin4821]

What it that constant in both side can't be factor? Like 3 and 2?

[@mystic1296]

thank you

[@guts-0077]

thanks for the help my prof didnt even teach how to do this shit

[@ADEGITECH]

Hi Teresa, there is an error towards the last 3 line of the calculation

[@abdulhakeemhusseinali7494]

so smooth explanation

[@kirst6846]

(2x - 1) to the 4th power

[@meowzers1721]

THANK U SO SO MUCH

[@trouvaille8378]

omg you discussed it very well

[@gianpaolo3340]

THANK YOU!

[@adoneysofianos2404]

you are the best, thank you :)))

[@ADwaMoviesandMusicsproduction]

Thanks a lot

[@elijahallred6543]

🙏

[@dayjaylyrics5618]

Neg 6 plus 5 is neg 1 please

[@praveensn6906]

mam i think you would have forgotten the power 4 at the last two steps

[@guybrown9422]

thanks. this was really useful, and you are pretty

[@angelaelliott8279]

woof

[@adammardini7033]

7:00 -6+5 is -1, not 1

[@samwilder_gaming7291]

2024🙋

[@Binata-l3x]

Ex-4 .. wrong answer...

[@yusuf0462]

You write false formula for Product rule

[@teresahartman7673]

There are a couple of mistakes in this video, which are identified below in the other comments, however, the product rule that I have used is correct!

[@samuelwaner3953]

you are wrong you are gonna make me fail my exam

[@marniejones331]

Hey, what is the answer?