Differentiation is a big thing in fact major chapter for all Secondary 4 ‘O’ level students.

Read all about the basics Differentiation techniques here. (Examples included) I would like to share one question from my A-Math Ultimate Leap Programme (weekly coaching class) which has 2 different approaches to solve it.

**Example:**

Very often, I notice students will jump into **Quotient rule** whenever a **fraction** is given. Just like this student here:

May I suggest that you pause for 3 seconds to think about the approach. Ask yourself** ‘Is there anything I can simplify?’ **

Here’s another student who pauses:

Notice this student spends his time simplifying before applying chain rule in differentiation.

I hope you enjoy this example. Both students are correct in their answers, which one do you prefer more? A or B?

I wasn’t even aware of the shortcut.

My teacher just taught v differentiate(u) – (u) differentiate(v)divided by v^2

It was a a long process as i still have to take time to factor out. I realised Student B’s method is much shorter, and will ensure better accuracy of the answers. The example really helped a lot ! :)

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There is another way to solve this problem.

I have been leart it in my school.

But when I solved this problem in that way. It was very long and hard.

The example of student A, I think is the best.

I like it.

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