HomeОбразованиеRelated VideosMore From: Michel van Biezen

Calculus - Derivatives - Quotient-Product Chain Rule (2 of 4)

280 ratings | 48952 views
Visit http://ilectureonline.com for more math and science lectures! This video is part of an eight 8 part lecture series on derivatives. Different algebraic expressions require different techniques in order to discover their derivation. I encourage you to watch the whole series and familiarize yourself with each technique as calculus is the key to understanding pretty much everything about the world!
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Text Comments (33)
Mike Balbes (3 months ago)
Hello sir! why cant you cancel inside the grouped polynomial?
Michel van Biezen (3 months ago)
You could, but we left it as is just to show the example of how to work it out according to the rules.  I recommend you simplify the problem as much as you can first before taking the derivative.
ARevengeBroken (5 months ago)
My left ear liked this video
Michel van Biezen (5 months ago)
If you watch some of our "less old" videos...both of your ears will enjoy the videos.
Fitri Wibowo (6 months ago)
Thank you for the video, Prof. I have a question: what if the denominator is the sqrt of x square, for example (3x + 6 - 2)/(sqrt of 5x^2 - 4x - 10)? How to combine the quotient and chain rule in this example?
Rahaf K (6 months ago)
Thank a lottt!!!
Sauce (6 months ago)
Buddy saved me with his 1-4 series videos.
zayd ali jaafar (7 months ago)
What’a fuckin g, wish I had this guy as my teacher.
Dominic Sarmiento (10 months ago)
Where's the final answer?
Dominic Sarmiento (9 months ago)
Michel van Biezen is it 3 multiply to (8x-9) and you will get (24x-9) then after you get it , it will multiply again to the (5x^3 + 2x^2)?
Michel van Biezen (10 months ago)
That is the "final" answer. You can simplify it algebraically, but you will find that different text books will leave the answer in a different form.
Nish S (11 months ago)
I like how prof 👏👏
Q8 Girlgamer (1 year ago)
had exams and this helped me so much, thank you!
baldy hardnut (1 year ago)
How do you know when you have your final solution sometimes with these questions?
baldy hardnut (1 year ago)
Thank you for not making me feel like ime wasting my time trying to simplify expressions further.
Michel van Biezen (1 year ago)
That is somewhat arbitrary as you can have your final answer is multiple forms.  The general rule is that you don't have any radicals in the denominator and you try to factor out as much as you can.
baldy hardnut (1 year ago)
god damn these questions are a nightmare at first...?
Math Addit! (1 year ago)
It's actually very difficult to see what he writes in the board: too small, dark and blurry.
e r (1 year ago)
Its perfect for me though
Michel van Biezen (1 year ago)
Yes our older videos are not as clear. You can actually increase the image quality if you are using a computer by increasing the resolution.
Ken Boardrow (1 year ago)
This was a huge help. Very straight forward.
Mehraj Saifee (2 years ago)
Thanks for this u explained it so well. I was searching for this!😀😆😄😉😃😍
Victor Nikivorov (2 years ago)
Thanks bro u saved me today
Lulu Saa (2 years ago)
Thanks for teaching!!
Steve w (2 years ago)
what about the remaining (5x^3+2x^2) in the numerator that cant be factored out, can you still cancel it out against the denominator making the denominator (5x^3+2x^2)^2 and the numerator (4x^2-3)^2[3(8x-3)-2(15x^2+4x)(4x^2-3x)] ?
Michel van Biezen (2 years ago)
The first step is the important step and there is only one way to use the quotient rule (as shown in the video). Also note the rules at the bottom right of the board.
Steve w (2 years ago)
+Michel van Biezen I was just wondering if it made a difference in finding the derivative, I keep getting mixed up on the process steps, not really worried about the final answer and the algebra to follow, just about getting there
Michel van Biezen (2 years ago)
At this point, it simply becomes a matter of what form you want to leave the final answer as. I doesn't make any difference.
Matthew Miclat (3 years ago)
Ben Kapansa (4 years ago)
Thumbs up!
Brittany Solensten (5 years ago)
Great video, thank you so much :)
Michel van Biezen (6 years ago)
Glad you liked it. Thanks for the comment.
Moezph (6 years ago)
Beautifully explained, thank you loads. Its a nice recap (:

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