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

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2 Responses to A-Math Differentiation with Ln
  1. meera
    October 2, 2009 | 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

    Reply

    alwaysLovely Reply:

    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/

    Reply

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