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.
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?