Differentiation - The Product Rule : ExamSolutions Maths Revision

Tutorial on how to differentiate using the product rule.
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[@abdeebafaisal9541]

You literally made life easy for me right now. Thank you , have an add maths exam very soon this was much needed

[@ExamSolutions_Maths]

Good luck and best wishes.

[@denischinnaya2695]

A big thnks for all ur videos u help me a lot
as for to understand all chapter maths wow,
i will like to have a teacher like u in my college
a big thnks !!

[@ExamSolutions_Maths]

Thank you for using them and I hope they will help you to success. All the best.

[@synovialesther5719]

this explains it really well thank youu omg you explained the last question really well. i used to struggle with taking the common factor out lol

[@PiivotJXD]

Already knew this and I carried on watching so must be quite a good video

[@TSMK900]

At 11:10, was it really necessary to factorize and simplify it further? I hope it was a optional step.
Because i had no idea how you factorized ^4 power in 5(x^3-1)^4. Also how is X^3-1 the highest common factor?

[@ExamSolutions_Maths]

I would say that you should simplify most answers and be able to do this. Clearly it is causing problems for you but do try and practice doing this as most answers would be simplified.

[@TSMK900]

ExamSolutions i understood how the product rule worked thanks to your video and usually when it comes to factorisation,i can understand it so long as the figure is small but the way you factorised that long figure, i just can't get my head around it.

[@basspersonalproject]

VERYYYY GOOD WORK. I STYUDY AT UPTOWN INTERNATION SCHOOL. I LIVE IN MIRDIF. IT IS NOT A VERY GOOD SHOOL AS I HAE NOT BEEN ABLE TO UNDERSTAND SUCH CEONCEPTS AT HAND. I GUESS YOU COULD SAY,....... CALCULUSIS NOT MY STRONG SUIT! HOWEVER, SINCE I HAVE GLANCED UPON SUCH A CALLOUSLY MADE VIDEO. MY DOUBTS HAVE BEEN ERASED FROM MY MIND LIKE HOW A PENCIL AND A PEN CAN ERASE EACHOTHER. I AM VERY GRATEFUL FOR YOUR WORK, I EXPRESS UTMOST LEVELS OF GRATITUDE. AND I HOPE TO BE YOUR REGULAR CUSTOMER SOON.
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[@AK476056]

Thank you

[@ExamSolutions_Maths]

That's okay. Best wishes.

[@deenashawkat7682]

In question 1, at 7:31 shouldn't it be 3x^2.e^2x?

[@ExamSolutions_Maths]

Not at all. Not sure why you're thinking this but the solution is correct.

[@viralfooty4844]

When do you use the chain rule and when do you use the product rule

[@ExamSolutions_Maths]

Generally when you have a function of a function. ie f[g(x)] where g(x) is say e^x and f(x) is 2x+3 so f[g(x)] = e^(2x+3). or g(x) = ln(x) and f(x) = 3x^2 - 4x + 3 so f[g(x)] = ln (3x^2 -4x + 3).
g(x) is normally a basic function like e^x, ln(x), sin(x), cos(x), tan(x), x^2, x^3 ... and f(x) some other function of x.

[@girliequeen999]

why is the differentiation of e^3x not 3xe^3x-1?

[@wesleyrichardson4940]

+girliequeen999 because the inequality of the product rule is -1, so the finished product must manipulate the circumference of the grammatical error of x.

[@QariAbdulBasitAbdulSamad]

nice video

[@wesleyrichardson4940]

Hey exam solutions, How would you differentiate e to the -3x?

[@z_6077]

-3e^-3x

[@wesleyrichardson4940]

for the last one how is the common factor between (x3 -1)3 and (x3 - 1)4 equals to the same as (x3 -1)3?

[@roku6194]

They both contain atleast (x³-1) to 3 powers. But since on the right hand side there are 4, by factoring out 3 of them, one still remains left over

[@Dawoodj736]

At 7:05 how do you get the derivative of e^3x to be 3e^3x??

[@ExamSolutions_Maths]

+dawood_jay It's a standard result using the chain rule

[@Dawoodj736]

Thanks!

[@nehnasharma_]

is this gcse or alevel

[@bluekate123]

Nenz _._._ a level old spec

[@lolzomgz1337]

How would I deal with the bracket (8xy^2) ?

[@ExamSolutions_Maths]

lolzomgz1337 Post on facebook.com/groups/566605273474018/ to get a reply