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Course Description

In this secondary 4 additional mathematics course, you will be learning

  1.  Simple Trigonometric Identities and Equations
  2.  Further Trigonometric Identities
  3.  Differentiation
  4.  Equations of Tangent and Normal
  5.  Rates of Change
  6.  Maxima and Minima Problems
  7.  Further Differentiation
  8.  Integration
  9.  Further Integration
  10.  Applications of Integration
  11.  Kinematics
  12.  Plane Geometry

 

Course Content

7) Further Differentiation 41 Topics | 1 Quiz
Lesson Content
0% Complete 0/41 Steps
Derivative of sin x
Derivative of cos x
Derivative of tan x
Practice Question 1a – Derivatives of sin x, cos x and tan x
Practice Question 1b – Derivatives of sin x, cos x and tan x
Practice Question 1c – Derivatives of sin x, cos x and tan x
Practice Question 1d – Derivatives of sin x, cos x and tan x
Practice Question 1e – Derivatives of sin x, cos x and tan x
Practice Question 1f – Derivatives of sin x, cos x and tan x
Practice Question 1g – Derivatives of sin x, cos x and tan x
Practice Question 1h – Derivatives of sin x, cos x and tan x
Derivative of sin(ax+b), where a and b are constants
Derivative of cos(ax+b), where a and b are constants
Derivative of tan(ax+b), where a and b are constants
Practice Question 2a – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Practice Question 2b – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Practice Question 2c – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Practice Question 2d – Derivatives of sin(ax+b), cos(ax+b) and tan(ax+b)
Derivative of sin x raised to the power of n, where n is a constant
Derivative of cos x raised to the power of n, where n is a constant
Derivative of tan x raised to the power of n, where n is a constant
Practice Question 3a – Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
Practice Question 3b – Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
Practice Question 3c – Derivatives of sin x raised to the power of n, cos x raised to the power of n and tan x raised to the power of n
Practice Question 3d – Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
Practice Question 3e – Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
Practice Question 3f – Derivatives of sin(ax+b) raised to the power of n, cos(ax+b) raised to the power of n and tan(ax+b) raised to the power of n
Derivative of e to the power of x
Derivative of e to the power of ax+b, where a and b are constants
Practice Question 4a – Derivative of e to the power of ax+b
Practice Question 4b – Derivative of e to the power of ax+b
Practice Question 4c – Derivative of e to the power of ax+b
Practice Question 4d – Derivative of e to the power of ax+b
Practice Question 4e – Derivative of e to the power of ax+b
Practice Question 4f – Derivative of e to the power of ax+b
Derivative of ln x
Derivative of ln(ax+b), where a and b are constants
Practice Question 5a – Derivative of ln(ax+b)
Practice Question 5b – Derivative of ln(ax+b)
Practice Question 5c – Derivative of ln(ax+b)
Practice Question 5d – Derivative of ln(ax+b)
8) Integration 31 Topics | 1 Quiz
Lesson Content
0% Complete 0/31 Steps
The Reverse of Differentiation
Indefinite Integral of ax^n
Indefinite Integral of ax^n – My Way of Teaching
Indefinite Integral of ax^n – Example Revisited
Practice Question 1a – Indefinite Integral of ax^n
Practice Question 1b – Indefinite Integral of ax^n
Practice Question 1c – Indefinite Integral of ax^n
Practice Question 1d – Indefinite Integral of ax^n
Practice Question 1e – Indefinite Integral of ax^n
Practice Question 1f – Indefinite Integral of ax^n
Practice Question 1g – Indefinite Integral of ax^n
Practice Question 1h – Indefinite Integral of ax^n
Indefinite Integral of (ax+b)^n
Indefinite Integral of (ax+b)^n – My Way of Teaching
Practice Question 2a – Indefinite Integral of (ax+b)^n
Practice Question 2b – Indefinite Integral of (ax+b)^n
Practice Question 2c – Indefinite Integral of (ax+b)^n
Practice Question 2d – Indefinite Integral of (ax+b)^n
Definite Integral, How to evaluate Definite Integral
Definite Integral, An Example (My Way Of Teaching)
Practice Question 3a – Definite Integral
Practice Question 3b – Definite Integral
Practice Question 3c – Definite Integral
Practice Question 3d – Definite Integral
Results on Definite Integrals (1)
Results on Definite Integrals (2)
Results on Definite Integrals (3)
Practice Question 4a – Results on Definite Integral
Practice Question 4b – Results on Definite Integral
Practice Question 4c – Results on Definite Integral
Practice Question 4d – Results on Definite Integral
9) Further Integration 35 Topics | 1 Quiz
Lesson Content
0% Complete 0/35 Steps
Indefinite Integral of sin x
Indefinite Integral of cos x
Indefinite Integral of sec x raised to the power of 2
Practice Question 1a – Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1b – Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1c – Indefinite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1d – Definite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1e – Definite Integrals of sin x, cos x and sec x raised to the power of 2
Practice Question 1f – Definite Integrals of sin x, cos x and sec x raised to the power of 2
Indefinite Integral of sin(ax+b), a not equal to 0
Indefinite Integral of cos(ax+b), a not equal to 0
Indefinite Integral of sec(ax+b) raised to the power of 2, a not equal to 0
Practice Question 2a – Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2b – Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2c – Indefinite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2d – Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2e – Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Practice Question 2f – Definite Integrals of sin(ax+b), cos(ax+b) and sec(ax+b) raised to the power of 2
Indefinite Integral of e to the power of x
Practice Question 3a – Indefinite Integral of e to the power of x
Practice Question 3b – Definite Integral of e to the power of x
Indefinite Integral of e to the power of ax+b, a not equal to 0
Practice Question 4a – Indefinite Integral of e to the power of ax+b
Practice Question 4b – Indefinite Integral of e to the power of ax+b
Practice Question 4c – Indefinite Integral of e to the power of ax+b
Practice Question 4d – Definite Integral of e to the power of ax+b
Practice Question 4e – Definite Integral of e to the power of ax+b
Indefinite Integral of x^-1, x>0
Practice Question 5a – Indefinite Integral of x^-1
Practice Question 5b – Definite Integral of x^-1
Indefinite Integral of (ax+b)^-1, ax+b greater than 0 and a not equal to 0
Practice Question 6a – Indefinite Integral of (ax+b)^-1
Practice Question 6b – Indefinite Integral of (ax+b)^-1
Practice Question 6c – Definite Integral of (ax+b)^-1
Practice Question 6d – Definite Integral of (ax+b)^-1

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