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differentiation

A-Maths: Differentiation Application - Stationary Value [Video]

Differentiation - Find Minimum Gradient of Curve Question

I received this question on finding minimum gradient of a curve and it is confusing for many students as they probably lack the flexibility in seeing gradient beyond dy/dx.

I have presented this question in a slightly different manner by reducing the usage of  first derivative (dy/dx) and second derivative (d^2y/dx^2).

Check the 3 minutes video by clicking on the video to find out the step-by-step solutions and the explanations.

Video URL: https://youtu.be/K5-LaQUXo94

httpv://www.youtube.com/watch?v=K5-LaQUXo94

Filed Under: A-Maths, Video Learning Tagged With: differentiation, differentiation application, gradient of curve

Integration: The Reverse of Differentiation

After I've completed my O-Level Maths Revision Differentiation workshop for a small group of Secondary 4 O-Level A-Maths students, I understood from them why a handful of them finds Integration challenging.

They get confused when differentiation is mixed within a question with integration! Are you just like them? Is your child facing the same problem too?

The three major topics for O-Level Additional Maths are:

  1. Trigonometry
  2. Differentiation
  3. Integration 

Having a great understanding in these topics is crucial to pass O-Level A-Maths with distinction! When you have a clear understanding of the differences between differentiation and integration, you then can solve fundamental differentiation or integration techniques questions. And this is important as there are so many applications questions on:

  • Property of integral
  • Equation of curve
  • Integration is the reverse of difference (I term it 'The HENCE concept' question)
  • Partial fraction in integration
  • Area under the curve
  • Kinematics

Let's take a look at comparisons between differentiation and integration questions:

(click on the image to view a larger size)

Comparison between differentiation and integration page 1

When you have a good understanding on how basic differentiation and integration rules are used in each question, you will be absolutely clear on the correct approach to take. All confusion will be transformed to confidence!

Many students need to be shown the comparison, taught the strategies, understand the reasons then they will be enjoying the topic happily.

If you have found this post useful, click on share on Facebook so that more students can benefit from this.

Pass With Distinction! Workshops

For students who are committed to be extraordinary, I would like to invite you to join me on my 4 days of O-Level Maths Revision: Integration Workshop on 3, 10, 17, 24 July 2014 (Thursday) from 6pm to 9pm. I will be sharing with you the strategies on Integration my students have used to pass their O-Level A-Maths with distinction.

This is exclusively for committed students who will do whatever it takes to turn their results around as they know deep inside them, they deserve better results as long as they are willing to work hard.

For registration, please go to www.PassWithDistinction.com.

PS: I've only 7 seats left.

I would like to share with you what Paxton has sent us after he received his O-Level results last year. He stays in Jurong and he was one of the committed students who showed up for several of our A-Maths Workshops last year, despite the distance from ACS(Br) to Winners Education back to Jurong, despite the long hours in schools, despite the fatigue, despite everything... He does not allow any factors to hold him back, his parents supported his decision... His commitment pays off handsomely for him. We are proud of his achievement and his determination in truly unleashing his potential.

PassWithDistinction.com: only for the committed.

Filed Under: Workshop Tagged With: differentiation, integration

A-Maths Differentiation: Finding Gradient of Curve

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.

A Maths Tutor

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.

Filed Under: A-Maths Tuition Tagged With: differentiation, differentiation techniques, quotient rule, tangent

A-Maths: Differentiation Techniques 101 [video]

In this video, I use three examples to show the usage of the three differentiation techniques.

  • Chain rule
  • Product rule
  • Quotient rule

You should be able to understand when and how to use each of the rule.

Length of video = 7 min

Click here for the direct link to the video.

Do leave me a comment for any related questions.

I have also created a video to show how I solve a question on 'Finding stationary value'. It is available here. [Length of video = 6 min]

Filed Under: A-Maths Tuition, Video Learning Tagged With: differentiation, differentiation techniques

A-Maths: Differentiation Basics 101 [video]

In this video, I discuss about the basics of how to differentiate constant, x term and x^2 term.

Length of video: 4 minutes.

Click here for direct link.

Filed Under: A-Maths Tuition, Video Learning Tagged With: differentiation

A-Maths: How to Differentiate 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.

O-Level Maths Tuition

Filed Under: A-Maths Tuition Tagged With: differentiation, ln

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