Page 32 - Focus SPM 2022 - Additional Mathematics

Learning Area : Calculus
Chapter Additional Mathematics SPM Chapter 2 Differentiation

2 Differentiation

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Concept
Map

KEYWORDS

• Approximation – Penghampiran • Minimum point – Titik minimum
• Chain rule – Petua rantai • Normal – Normal
• Chord – Perentas • Product – Hasil darab
• Curve – Lengkung • Quotient – Hasil bahagi
• First derivative – Terbitan pertama • Rate of change – Kadar perubahan
• Fixed point – Titik tetap • Second derivative – Terbitan kedua
• Gradient – Kecerunan • Small change – Perubahan kecil
• Gradient of chord – Kecerunan perentas • Tangent – Tangen
• Limit – Had • Turning point – Titik pusingan
• Maximum point – Titik maksimum
The world great sprinter, Usain Bolt recorded a short distance run of 9.58 seconds. Averagely, his
speed was 10.37 m s . Does this mean that he maintained this speed throughout his 100 m run?
To answer this question, we need to determine the changes in the running distance with respect

Differentiation helps us to study as indepth as possible the changes that happen to a certain
–1
quantity with respect to another quantity. Differentiation can also be used to find the values of
to time for each instant throughout the run.

gradient, maximum and minimum.

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