The Product Rule for Derivatives
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- Опубліковано 20 вер 2024
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The Product Rule for Derivatives - A few basic examples.
For more free math videos, visit PatrickJMT.com
i love how this guy is such a gentleman. always apologizing if he moves the paper slightly and saying "excuse me" after he coughs a little. just makes this much more enjoyable to learn from. bravo sir bravo.
In highschool I went to a classical lyceum and I studied a lot of latin and ancient greek, and basically no math for five years. In a month I'll take an admission exam which requires general knowledge of derivatives, and these videos are helping me a lot, thank you so much!
Thank you very much, this helped me a lot! I was trying to understand it by reading the textbook but idk wtf they were doing lol
Come back any time , I have a ton of calc videos, at least one for just about every topic you see in calc
In the past hour I have learned the quotient rule, chain rule, and the product rule. Whereas before I had no clue how to do any of them. Brilliant!
I don't read the text book and I don't go to the class room but I scored 95/100 ONLY USING UR VIDEOS.Thank you!!!
The order of the videos doesn't looks OK to me for this chapter(Derivatives) video ~15 to ~25.
in your case, I would just multiply it out.
In general, suppose that
p(x) = f(x)g(x)h(x), then
p'(x) = [f(x)g(x)]'h(x) + [f(x)g(x)]h'(x)
so that you will have to do the product rule 'within' the product rule, on the f(x)g(x) factor. Basically group two of the three together and use product rule from there!
hope this makes sense!!
Your voice is so encouraging…… I can do it!
yes, yes you can.
one's attitude is a good part of being successful in math (as in most challenging things in life).
patrickJMT Patrick can you tell me how to one that is much bigger I can do it if I follow what you showed on this video but it turns out to be too big for such a simple product. The problem is
f(x)=(x^3-2x+1)^4 that exponent of 4 makes it incredibly huge
Dexter8x that problem you should just use chain rule
(3x^2-2).4(x^3-2x+1)^3
Dexter8x o
+Dexter8x
correct you can use the chain rule.
Patrick,
I am from The Netherlands. I am 48 years old and since 1 year a math teacher.
Since I became a teacher at my age I look a different way to your video''s.
I want to say to you, you are are real artist.
Just a piece of paper and a pen, with the right words, the good chosen examples.
And you make people understand it.
I use your video''s often.
Thank you for your piece of art.
br
Walter
i remember doing this with u and v though :/
Man, You are really amazing! I've taken all this at my uni but then i was just walking on water with what i knew.. now I'm on solid ground, ALL thanks to you!
Patrick you are amazing, I've been watching your videos since Precalc 126, then again in 127, and now I'm in my last math class ever, 181! I'd like to attribute my success to you!
You explain everything so well! Why can't you come to my high school to teach calculus?
My intention for coming to this video was to watch it fully but guess what .....the formula made me fully understand what I was struggling at. Thank you, sir!!!
that first statement just cleared this whole thing up lol
Thanks for this. My teacher is from India and I couldn't understand this when she was explaining it. You're the man. This is so much more helpful than tutoring.
thanks Mr Patrick all your Free Math Tutorial Videos are Red-hot gem ,I'm currently pursuing my Masters Degree Course i.e (M.A in Economics) at my Hometown University.. Since I didn't have an Advance Math Background in Economics during my Undergraduate College level ..I find it extremely difficult to understand the catch 22 ways in which a typical Math Textbook explains these concepts without explaining their Logical Rationale ..Your Explanations of Calculus & Derivatives r so Clear & Sunny.:D
Your videos are making these summer classes so much easier. I really appreciate the time you take out of each video to properly explain the topic so we can understand it properly. Keep up the good work.
@Seedofwinter well, it is just 'one function ' but to get it, you have to multiply two other functions! if there is any multiplication that occurs within the function, you have to use the product rule.
GOT IT...Book also supports and thoroughly go over it...the session in class was a little too fast, but now i got it. Thanks. :)
Relearning Calculus for a course this Summer. Your videos still hold up 2 years later.
Hey Patrick! Just wanted to tell you that me and the guys here at the American University of Beirut thank you a lot for helping us get past these math classes and into our domain! Much thanks from Beirut, Lebanon.
i am happy u think so! i got most calc 1 and 2 here, so come visit any time!!
WOW!!!! my professor does not explain it even this well. Thanks man LIFESAVER!!!
Our lecturer teach us using the substitution method which I find very confusing.Really glad that there is simpler method.Thanks Bro!
i love your vids! I waste sooo much time in calculus class, learning absolutely nothing, then i come home and watch one 8 minute video and understand it completely!
A BIG ,BIG THANKS with an immense amount of respect to Mr.Patrick.
I am in 8th grade and love quantum physics,the need of calculus and all of maths in physics convinced me to love maths including calculus and your videos are awesome and super helpful for me.Thanks a lot Sir.
@Seedofwinter if you have variables multiplied by variables, you have to use product rule.
Very informative. Useful reminders for a upcoming Calculus exam.
great video, I used to believe I had a learning disability that prevented me from learning this material, but now I can safely say with your help this information has become enjoyable and fun to learn, thank you.
You should write a book. It's amazing how you make this stuff seem so easy when my professor makes it so difficult.
the only reason i get A's on my Calc. tests are because of you. I dont understand how my teacher teaches us but you make it so simple. THANKS
You have no idea how helpful your videos were back in college. 🙏
You make learning math so much fun and easy and way uncomplicated! I wish all the math teachers/profs teach like you! Thank you!
@FireSign27 product rule has a plus, quotient rule has a negative
@doggybiscuits89 a binomial is a polynomial
ugh! I want my tuition back... give it mr. patrick... you're a better teacher than my professor...
THANK YOU BROTHA!!! YOU THE MAN! NO REALLY YOUR THE BEST. I love your videos they are so simple easy to see and easy to follow.. nothing more and nothing more.. I love yo style, brotha. Oh! and thank you for being so polite for saying "exuse me" or whatever. thank you!
Thanks so much! I really like maths but get bored in school - your videos are an awesome place to learn really interesting concepts and you make everything seem really simple!
your 8 minutes explanation is much more understandable than 2 whole lessons! :) thanksss
Thanks for your help. Now I understand how to use the product rule with sine and cos :)
The only guy who makes videos about calculus easy to understand. Khan academy sucks
true! i hardly understand some topics.
Agree
@@yurikpikh28 Khan Academy is more for people trying to 'brush up' on a topic. If you know nothing about the topic, he'll leave you in the dust. I don't recommend KA if you're completely lost in the subject, only if there's like a certain thing you don't quite understand.
I think PatJMT, Khan, and 3Blue1Brown each bring their own game.
If you want to pass the test watch PatJMT,
if you want to understand the intuition and not forget everything you learned right after the test watch Khan,
if you want to understand the concepts and visualize it watch 3Blue1Brown,
and if you actually appreciate Math and are serious about it you'll watch all 3 guys and then maybe...maybe this will all make sense to you and you'll retain it.
try taking the derivative of x^2 normally, and then bust it up and try your rule and see what would happen!
a big thanks very encouraging tone of voice
derivative of cosine is -(neg)sine, derivative of sine is cosine; every fourth derivation of sine will lead you right back to sine. because of tangent's unique relationship with sin& cosine, you really only need to remember that, tangent= sin/cos (= sine divided by cosin) and cotan is the reciprocal- cos/sin-- so derivatives of each tan argument are the derivatives of sin and cos
i love these videos, they're the only thing keeping me alive in my calc class
Very good solution for this question
Excellent handwriting, it really helps!
I love you Patrick! This is my 3rd calculus course and you're still my go-to for calc fundamentals review.
He teaches calculus to thousands a day. What a teacher. ;)
Thank you so much! For some reason I couldn't understand this when my tutor tried to explain it to me, but I totally get the rules when you explain it! You just saved me!!
Its Vic I
thank u sr for making the video more understandable
Man you have no idea how grateful i am to you lol i was doing this wrong and you helped me clean it up. my teacher has a doctorate in math and he always does steps in his head and me being a student in his class i dont know what the heck is going on so i just wanted to thank you for elaborating on this
He makes it sound so easy
great video
I love the way you express these equations. Keep it up
fucking legend! you've taught me in 8mins 3secs what its taken a maths lecturer a whole term!
If you had 5x^4+8x you could factor and do the product rule. But it'd be easier to just use the power rule.
4(5)x^3+8x^0 vs.
1(5x^3+8) + x(3(5)x^2+0)
Either way you get 20x^3+8
Hi PatrickJMT! Thanks for your videos. This video might be nearly 10 years old but It is still very helpful. I just signed up to contribute to you on Patreon because you have helped me so much. :)
thanks tracy! i appreciate your support on patreon :)
I'm proud of myself for realizing that the sinxcosx part could also be derived using the chain rule and trig identities
Thank you so much for making these videos. They helped me out immensely in Calc, and I really do appreciate you uploading them. Seriously. Thanks.
i may pass for tomorrow test after watching your video. Thx a lot
thnks man, ur actually better then most teachers :)..
@sweetblackstarx takes practice is all.
cheers mate! helping me witih my engineering maths at uni !!
cos^2X - sin^2X = -1(cos^2X + sin^2X) is not correct
thank you sir coming all the way from the caribbean
i have a test tomorrow, this will help me lots
Thank you alot your teaching method is so well
Hey! Would you mind if i showed this video to a group of kids who are struggling in Calculus class? I can do the material myself by explaining it is where i lose everyone and this video pretty much says it all w/o over complicating things
it makes a lot of sense. Thanks patrick
patrick, I don't know how to say this any other way.
Your teaching method is short, sweet, and definitely helpful! Keep it up! :D
Thank you very much,I'll never get it wrong again
I wish I found these videos before my math test last week...
man!! you are my hero.. i wish you're my prof.. this is now where im studying.. thanks
Thanks for your help!I forgot about calculus, and, you helped me a lot.
thanks for the help dude you are super good at teaching this stuff
His voice. It's...so soothing.
@patrickJMT Oh okay I see. Thanks for clearing that up for me.
I just watched your quotient rule vid then this. seriously... you should be a teacher. I just learned derivatives in 5 minutes. I loveeeeeee you. (not in a creepy way :D)
Great video, you helped me like you have no idea
@sufiyah13 what are you confused about?
does your name really mean, patrick [the] JESUS [of] MATH TUTORS?
I wish people would stop
Thank u so much!
without ur videos, i’d probably fail every math exam
'cause by the power rule for finding derivatives, X^n = nX^(n-1) so if f(x)=x^3+4, f'(x) would be expressed 3X^(3-1) + 4((0)X^(0-1). So the final result would be: 3X^2 + 0... I think
glad i could help you for so long :)
Your vids really help me cause you explain everything so well! thank you!
both!
PatrickJMT master race, all other tutors are obsolete
Question. Probably buried somewhere in the comments. In the last problem, he used the product rule within f(x) because sinx and cosx were being multiplied within the parenthesis?
Thanks! I was absent and missed this lesson. Great explanation.
You are awesome ! Thanks a lot, hopefully I'll make it on my test !
This was so helpful. Subscribed
Anyone watching in 2019?
2020
@@jrobcentral watching in august 2020
@@MonkeyDLuffy-ro7lp september 2020
@@HarshSears november lol
thanks so much!
you are one hell of a teacher
glad i could help you out my friend!
Very informative. Aqua Tremlet, Fire Tremlet. Franel is Chonder, and Chonder is matter, derivative. BexN Math Division 2013 (C)
Thank you very much for clearing all my doubts patrickJMT, your lessons are short and sweet and it hits the important points :D
maybe ill pass my test tomorrow!
+David Weeks good luck! Make sure to practice and not just watch :)
David Weeks maybe I will as well
Im not sure you did the last problem right. I have the same one in my textbook and it had a different answer. And so does chegg. But I don’t get how they got their answer. You did the problem exactly how I did, yet the book is different.
please can u also do more videos on graphs in derivatives and also applications on derivatives
Thank you! You make it REALLY easy! My textbook COMPLETELY threw me off! Thanks! :)