Easy Way to Learn Additional Mathematics: January 2016

Law of Indices

Indices laws

Multiplying and dividing

When multiplying you add the indices, and when dividing you subtract the indices.

It is as follow: x³ × x⁷ = x¹⁰, and r⁵ ÷ r³ = r²

Index Laws

Diffentiation: Question and Answer

BASIC DIFFENTIATION

Diffentiation: Question and Answer

Simple and easiest way to differentiate

Here are the simple differentiation which is the simple one. A lot of people keep saying that Addmath are so difficult. So I am here sharing my knowledge, to help and guide you to learn Addmath with the simple way.

Basic Diffentiation

First and Second Differentiation Calculation

Differentiation: Questions and Answers

Simple and easy way to differentiate


Differentiation

• (a) y= 24x³ – 4x⁹ + 3x¹²

y’ = 24(3)x^3-1 – 4(9)x^9-1 + 3(12)x^12-1

y’ = 72x² – 36x⁸ + 36x¹¹(First differentiation)

y’ = 72x² – 36x⁸ + 36x¹¹

y’ = 72(2)x^2-1 – 36(8)x^8-1 + 36(11)x^11-1

y’’ = 144x – 288x⁷ + 396x¹⁰(Second differentiation)

• (b) y= 10x²(3x + 8)

y= 30x³ + 80x²

y’ = 90x² + 160x

y’’ = 180x + 160

• (c) y= 27x³/4x

y = 6.75x²(First simplify the question

y’ = 13.5x

y’’ = 13.5

Indices

Math and Beautiful Mind

Law of Indices

Indices laws

Multiplying and dividing

When multiplying you add the indices, and when dividing you subtract the indices.

It is as follow: x³ × x⁷ = x¹⁰, and r⁵ ÷ r³ = r²

Math And Beautiful Mind

Diffentiation: Question and Answer

BASIC DIFFENTIATION

Diffentiation: Question and Answer

Simple and easiest way to differentiate

Math And Beautiful Mind

• (a) y= 24x³ – 4x⁹ + 3x¹²

y’ = 24(3)x^3-1 – 4(9)x^9-1 + 3(12)x^12-1

y’ = 72x² – 36x⁸ + 36x¹¹(First differentiation)

y’ = 72x² – 36x⁸ + 36x¹¹

y’ = 72(2)x^2-1 – 36(8)x^8-1 + 36(11)x^11-1

y’’ = 144x – 288x⁷ + 396x¹⁰(Second differentiation)

• (b) y= 10x²(3x + 8)

y= 30x³ + 80x²

y’ = 90x² + 160x

y’’ = 180x + 160

• (c) y= 27x³/4x

y = 6.75x²(First simplify the question

y’ = 13.5x

y’’ = 13.5

How To Use Casio fx-570 Calculator

Tips in Using Calculator

2 UNKNOWN EQUATION

Example:

2X + 4Y= 8

X + 4Y = 6

Key in the number into the calculator and you will get the answers. No need to calculate.

First, press MODE, till you find EQN Press 1 then find UNKNOWNS Press 2 for 2 unknown equation.

Then for a1 press 2 then press this symbol = then, for b1 press 4 then press =, for c1 press 8, a2 press 1, b2 press 4, c2 press 6.

then you will get the answers where is x=2 and y=1.

Step by Step

MODE → EQN(1) → UNKNOWNS(2) → a1 → 2 → = → b1 4 → = → c1 → 8 → = → a2 → 1 → = b2 → 4 → = → c2 → 6 → =

3 UNKNOWN EQUATION

Example:

2a + 8b -4c = 4

-12a + 4b + 6c=15

6a +4b + 7c = -3

The step is same with the 2 unknown equation. For the 3 unknown equation press UNKNOWN

Step by Step

MODE → EQN(1) →UNKNOWNS(3) → a1 → 2 → = →b1 → 8 →= → c1 → -4 → = →d1 → 4 → = a2 → -12 = b2 → 4 = → c2 → 6 → = → d2 → 15 = a3 → 6 → = → b3 →4 → = → 7 → = → -3 → =

You will get X= -1, Y = 0.75, Z= 0, which is X as a "a", Y "b" and Z "c"