quotient rule

I'm very excited to be working on the revised copy for the GCE O-Level Additional & Elementary Mathematics Ten Years Series (2003-2012) by FBP Publisher.

The book should be available in all Popular bookstores (Singapore) in early April. There's something new on this book. To provide more value to students, this year we have included an additional book of drill questions.

I would like to share one of the questions from Differentiation: Tangent & Normal with all of you.

Skill required:

Quotient rule
Gradient of curve is dy/dx

Bonus: Strictly decreasing function means dy/dx < 0 for all values of x.

Click on the image for a bigger view.

I would like to hear any comments from you. Did you do this question using another approach? Leave me a comment.

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?

A-Maths Differentiation: Finding Gradient of Curve

A-Math: Differentiation Shortcut Lies In Pausing & Simplifying

Example: