START TO LOVE ADD MATHS

Tomorrow is the day whether a history will be acheived or not..
PMR RESULT will come out!!!!
Pray a lot....May Allah gives us the strength and will to accept anything whether it's good or bad.
Dear Form Three students, make sure that you are well prepared...

The main reason for me to write today is... please have a positive mind set for my subject...
Start to love the subject...
Positive thinkers will find the subject easy to learn and achieve A+.

Tips 4 all of u:

1 Interest will enhance learning.

2. Master basic skills, such as algebra, fractions, factorisation and negative numbers.

3. Get used to mathematical symbols and terminology.

4. Understand the mathematical concept and application.

5. Do lots of exercises because practice makes perfect.

6. Do the exercises on your own instead of getting solutions from friends.

7. Pay full attention in the class while your teacher is teaching.

8. Refer to your teacher if you have problems.

9. Do mind mapping to understand lessons especially topics related to applications.

10. Master your own scientific calculator.

11. Revision has to be done earlier, frequent and continuously.
12. Group studies can enhance better understanding and enforce solving methods.
13. Familiar with the past years questions.

If you really practice all those tips , you will find that ADDITIONAL MATHEMATICS is EASY.
These tips were not meant for Form 3 students(Form4 to be...in 2010) but also for Form 4 (Form 5 to be....in 2010)

2010 SEMAKIN HAMPIR

Untuk anak-anak KUSESS...
Sudah bersedia untuk tahun 2010?
Anda mesti sudah bersedia menghadapi cabaran 2010. Terutamanya yang berada di Tingkatan 3 dan 5. Buat persediaan awal untuk PMR dan SPM. Jangan tunggu last minute . Study consistantly.
Kejayaan kamu adalah hadiah terindah untuk ibubapa dan guru-guru...

MORE ON DIFFERENTIATION

Differentiation

Taking limits to find the derivative of a function can be very tedious and complicated. The formulas listed below will make differentiating much easier. Each formula is expressed in the regular notation as well as Leibniz notation.

Constant Rule: If f is a constant function, where f(x) = c, then

Power Rule: If f is a power function, where f(x) = xⁿ and n is a real number, then

Note: The graph of the derivative of a power function will be one degree lower than the graph of the original function.

Note: For an example of a power function question, see Example #6 below.

Constant Multiple Rule: If f is a differentiable function and c is a constant, then

Sum Rule: If f and g are differentiable functions, then

In Leibniz notation,

Note: For an example of the sum rule, see Example #7 below.

Difference Rule: If f and g are differentiable functions, then

In Leibniz notation,

Note: For an example of the difference rule, see Example #8 below.

Product Rule: If f and g are differentiable functions, then

In Leibniz notation,

Note: For an example of the product rule, see Example #9 below.

Quotient Rule: If f and g are differentiable functions, then

In Leibniz notation,

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The Chain Rule

The chain rule is used to find the derivatives of compositions of functions. A composite function is a function that is composed of two other functions. For the two functions f and g, the composite function or the composition of f and g, is defined by

The function g(x) is substituted for x into the function f(x). For example, the function F(x)=(2x+6)⁴ could be considered as a composition of the functions, f(x)=x⁴ and g(x)=2x+6. However, it could also be written as a composition of f(x)=(2x)⁴ and g(x)=x+3. Often, a function can be written as a composition of several different combinations of functions.

The chain rule allows us to find the derivative of composite functions. The chain rule states that if f and g are differentiable functions and F(x)=f(g(x)), then F is differentiable and the derivative of F is given by

In Leibniz notation, if y=f(u), u=g(x) and y and u are differentiable functions, then

These notes were extracted from
http://www.nipissingu.ca/calculus/tutorials/derivatives.html
You can visit the address for further explanations and exercises.

PERINGATAN UNTUK ANAK-ANAK TINGKATAN 4 DAN 5 2010

Kerja cuti terancang perlu diselesaikan sebelum pulang ke sekolah. Beberapa orang pelajar Tingkatan 4 2010 telah meninggalkan KCT dan modul pengajaran di Dewan Makan.Tiada alasan untuk anda tidak menyelesaikan kerja-kerja tersebut.