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shortcut

A-Math: Differentiation Shortcut Lies In Pausing & Simplifying

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:

differentiation-qn

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

differentiation-qn-quotient-rule

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:

differentiation-qn-simplified

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?

Filed Under: A-Maths Tuition Tagged With: chain rule, differentiation, quotient rule, shortcut

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