ln

Very often, differentiation of ln involves simplification first. By using ln rules, I was able to simplify the given question before I start differentiating.

So all students should know the ln rules well, which are very similar to logarithms rules.

I hope this step-by-step approach allows you to understand better on how to differentiate 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