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A-Math Differentiation with Ln


Qn frm email (Additional Mathematics Question / A-Math Questions)

Differentiate ln square root (2x+4)

Hint#1: Bring out Laws of Ln which is somewhat the same as Laws Of Log :)
Hint#2: When you are asked to Diff Ln (whatever) = Diff (whatever) OVER (whatever) :)

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Amaths Differentiation and Integration techniques.
How to actually remember all the different ways for differentiating and Integrating, I always get mixed up

Hi xxx,

Differentiation = Decrease Power
Integration = Increase Power
(It's often sth OVER another)

Example

Diff e^2x = 2e^2x
Integrate e^2x = (e^2x / 2)

Diff (3x+4)^5 = 5(3x+4)^4 (3)
Integrate (3x+4)^5 = (3x+4)^6/(3*6)

It's suggested that you have a "cheat" sheet with Diff on Left Hand Side and Integration on Right Hand Side.
To familiarise more, work on at least 5 qns just on differentiation and integration :)
You can always scan me any qns or type out any should you face any challenges.

Cheers,
alwaysLovely

Ai Ling Ong

Hi, I'm Ai Ling Ong. I enjoy coaching students who have challenges with understanding and scoring in 'O' Level A-Maths and E-Maths. I develop Math strategies, sometimes ridiculous ideas to help students in understanding abstract concepts the fast and memorable way. I write this blog to share with you the stuff I teach in my class, the common mistakes my students made, the 'way' to think, analyze... If you have found this blog post useful, please share it with your friends. I will really appreciate it! :)

Filed Under: A-Maths Tuition Tagged With: differentiation, ln

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Comments

  1. meera says

    October 2, 2009 at 4:43 pm

    thank u v much for the hints on integration .
    i always look forward to such challenging problems.
    binomial expansion problem, i do the problems always the same method----term independent of x .
    keep guiding us.
    thanks love

  2. alwaysLovely says

    October 3, 2009 at 5:29 pm

    Meera,

    Thanks for your kind words.
    I did a search on Binomial Expansion and found a post which addresses the concept of Term Independent of x!
    I hope you find this post useful too.
    Click on the link to read more:
    http://www.singaporeolevelmaths.com/2009/01/30/a-math-binomial-expansion-finding-term-independent-of-x-by-a-shortcut-method/

  3. Mahmad Aboubakar says

    April 13, 2013 at 1:54 pm

    Thanks for your help in trying to inculcate the core of add maths to newly addicted student in add maths.I have been forced to get in touch with your precious explanation out of sheer interest,and also in trying to help my son to achieve good grade in add maths.I have been able to get him interested in maths-and he is doing quite well;but,the main reason is that he is very week in add maths,though he is having private tuition.The proceeding and approach with which you deliver your tuition/guide are amazing,and crystal clear.I love you for being such a good teacher.Thanks.

  4. Ai Ling says

    April 18, 2013 at 6:55 pm

    Thank you for your wonderful comment.
    I'm glad that I can help.
    Subscribe to my channel for updates on my videos: http://www.YouTube.com/alwayslovelysg

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