Learn everything you need on Differentiation
What you'll learn

Calculus

Differentiation

Integration

Requirements

Algebra

Basic Trigonometry

Logarithms

Exponents

Area

Description

This course can only be purchased by adults. Once purchased, students can then access the contents of the course under the supervision of their parents.

The course is presented in the following manner.

Course content video explaining the concept

able course content notes

Worksheet and its Solution

Worksheet solution explanation video

The course is ideal for students looking to learn the difficult concept of differentiation in an easy to understand manner.

Learning Outcomes

1. Limits

Understanding Gradient of a Function

Description of Limits

Left Hand and Right Hand Limits

Examples

Vertical Asymptotes

Horizontal Asymptotes

Solving of different types of problems pertaining to Limits

2. Derivative of a Function

Gradient - Average rate of change

Derivative - Instantaneous rate of change

Differentiation - Using First Principles

Power Rule

Constant Rule

Sum/Difference Rule

3. Differentiation Rules

Product Rule

Quotient Rule

Chain Rule

Sample Problems

4. Tangents and Normal

Gradient of a function at a point is the slope of the tangent at that point

Obtaining the equation of a tangent

Obtaining the equation of a normal

Sample Problems

5. Graph

First Differentiation Test

Increasing/Decreasing Function

Critical Points

Maximum/Minimum

Second Differentiation Test

Inflexion Points

Concavity

Sketching graphs

6. Application of Differentiation

Optimization

Identify the constraint and write the equation

Identify the expression to be optimized

Write the expression in one variable using the equation

Optimize it by differentiating and equating to zero

Input the optimized parameter in the expression to obtain the optimized value

Kinematics

Relationship between Displacement, Velocity and Acceleration

Converting a displacement equation into velocity equation

Converting a velocity equation into a displacement equation

7. Past Paper Questions

Assorted past paper questions and their solutions

Video explanation of the solution

Who this course is for:

High School Students taking calculus

IB Calculus - Standard Level




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