Differentiation - Product Rule : ExamSolutions 

I pass my exams because of you!! I love your channel and website!!! Thanx a lot.

Thankyouu so much, you'll help me pass my A levels with good marks😭❤

I've been struggling with this at uni and these videos are complete saviours! Thanks so much!

Not at all. You only use that rule when differentiating ax^n types. We use what is called the chain rule on this. You should revise the chain rule for differentiating functions like this. Go on to my website and check this out under the chain rule.

@ManchestersRedSide Pleased to hear it made sense. No need to complicate it.

Your videos have helped me loads so far! Literally makes every topic seem a piece of cake.

Well explained thank you 😘🤞

it's 2016 and you are still helping people! ha nice, Thanks for the video!!!

I really appreciate your service guys..Thanks Alot

Still helping in 2021 🤩🤩

Your help is really appreciated ... I have a question... regarding the product rule as well as the quotient rule, is it a must to substitute with for example u=... ... or can I directly work it out ... I can directly work it out ... but my question is, do I lose marks if I didn't write them ??? Edexcel pure maths 3

ive been slippin up on my derivatives when doing a maclauren series, this video refreshed my memory and then some! great video

So clear and concise, thanks for your effort in making these tutorials for us - its much appreciated!

could you work out a more complex 'product rule' question: x^3(2x+6)^4 I came up to the part where you use the formula dy/dx = u dv/dx + v du/dx After that I couldn't factorise the solution which i got to be: (2x+6^3)(14x^2+6x^2). i'm not sure if that is right. However the final answer is supposed to be 2x^2(2x+6)^3(7x+9).

there arent a lot of things in maths i believe should never have been created or even imagined but differentiation is one of them! dont understand and wont ever until someone can say you do this because of that etc

Hi, sorry, for the first question, second bracket of dy/dx, how did it become 3e power3x because i thought it would be 3e power2x? or is it different? Please explain :)

The staff is helpful thank you sir

@Y5FK Hi - it is not right. You cannot pull out part of a function in factorising.

I am changing servers so problems may exist during the change over due to DNS settings. Should resolve itself in 24 hours.

thanks very much ive always confused the chain rule with the product rule. this video helped me out

This is an exponential function and handled differently from say terms of the form ax^n where you take 1 off the power. Check out my diiferentiation tutorials on differentiating exponential functions e^x

@TheKitKatattack pleasure

Thanks

Won't you be able to take out cos x as a common factor at the end as well? 4xcos x + 4sin x (divide trough by 4cosx) to give 4cos x (x + tan x) ? thanks you're videos are awesome by the way.

I multiplied it with the 5 to give 15

Now I understand why I have lean to multipy two deriviatives! Many thanks :-)

so how would you use the product rule to differentiate y=(3x+1)^4 (2x-3)^3 ?

keep hear birds cherping away on these videos, very disconcerting when it's 4 am :P. any ways thanks for these vids like always, helps keep the brain ticking over in the holidays

Hello sir, Shouldn't we subtract 1 from the power of ( e ) in the first example?

Thanks alot man made it look so simple

That's good. Thanks

amazing thank u!

How is that the power in dv/dx of e^3x equals to 3e^3x? Shouldn't the power, ^3x, be reduced by 1? Like the rule: y= ax^n, therefore dy/dx=anx^n-1

Cheers

These videos are really good but I can't find some of them on here but your website isn't working it directs me to another page I just wanted to know when your website will be up and running?

@nepalitan Unusual, but yes

For the last bit when your factorising, can you do it as x(4cos + 4sin) ? it means the same to me but im not sure if it's right ?

I request the teacher to show more examples on this topic

OMG THANK U SOOOO MUCHH THIS IS IDENTICAL TO WHAT I HAVE TO LEARN THANK U THAT IVE FOUND UR CHANNEL :) IM GOING TO ACTUALLY ACE CALCUS SHOCKINGLY

Pleasure

Thank you

Thank you!!!

thank you

thanx!

@fixerofkah That's ok

thanks

awesome vid.

@ExamSolutions Cheers :)

can you please tell me the differentiation of sec^2(x)?

wel done

Thanks :)

took me a few mins for my memory to kick start and member this..i blame myself for doing this at 5am

This man's voice 😂😂 thanks for the help anyway

sec^2(x).(tan^2(x)

i didnt undertand the part at 5:33 when you said about e and a , why do you not take 1 off the power? should it not have been 3e^2x

Should a Y7 / Grade 7 be doing this?

why while differentaiting e^3x it comes out after diffrentiating 3e^3x and not as 3xe^3x-1

@lpfanhuh That's good

at 6:17 what happened to the '3' from the 3e^3x? You just wrote e^3x

Cant you say sinx^3?

In 2021

haha, if you look at the stats, you can see that they shoot up at the time of the january and july exams :)

0 dislikes?!?!?! The trolls must be sleeping.

helpful.. ^_^

a bit late but thanks anyways!

Language problem

LOOOOOOOL

y this man talking like that his voice sicking lawd

my ears are bleeding from sssssssssssssssssssssssssssss

why am i 14 and watching this

Thank you

Thanks