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Application of Differentiation. Part One

Description: More than 12 hours of video tutorial recorded on 9 videos in first part of this chapter. In addition of reasonable volume of theoretical interpretation, there are plenty questions developed and worked out, every step, on white board by Maths Tutor with over 35 years of experience in teaching/tutoring high school mathematics. All questions were created on a such way that helps students in deeper understanding of topic on an easier way, as well, in finding answers on their commonly asked questions, past tests, SAC’s and exams questions. Furthermore, the questions are very suitable for practicing algebra, application of mathematical theory and development of mathematical concepts, and all this with strong focus on tests and exam requirements. Commonly made examination mistakes by students, and advice how to avoid them, is given on a wide range of questions, making lessons an excellent resource not only to gain deep understanding of the chapter, but also to prepare for final exam.

In this part of the chapter, students can study and practice the following topics and concepts:

  • Average and Instantaneous rate of change
  • Gradient of a tangent and normal to the curve. Steps to write equation of tangent and normal. Finding coordinates of point on the curve at which some line is a tangent/normal to that curve at that point.
  • Stationary points and their nature; Turning points (local maximum and minimum) and stationary points of inflection. Steps to find stationary points and to investigate their nature.
  • Sketching gradient function graph from original graph
  • Solving mathematical problems involving maximum and minimum values of function


Over 50 fully worked out (on white board) study examples, SAC’s and exam style formulated questions, as well, past examination questions. While Maths Tutor working out questions, he is giving concise explanation of concepts, application of theory and all steps for each question with special emphasis on common students’ problems and how to avoid common examination mistakes.

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