IB MAA

These tutorials cover the basics of the chain rule but more importantly they look at other functions that are faced in differentiation. Log, trig etc, all of these will usually involve the chain rule.

Video tutorial 1 basics, Tutorial 2 Exponential functions, Tutorial 3 Log functions,

Tutorial 4 Trig functions.

Product rule. Basics, examples with e and trig functions, Harder example with factorising answers

Quotient rule. Basics,

Finding stationary points. Video tutorial

MATHS GENIE. Collection of videos that go through most topics in differentiation and worksheets for all differentiation.

Differentiation applications

Find the gradient at a certain point

Find the tangent and the normal

Find stationary points

Determine the nature of a stationary point

Kinematics using differentiation

Practical uses of differentiation example 1 example 2

Calculus - Integration

The basics Video tutorial 1

Areas under a graph and between curves

Definite integration (similar to above)

Finding the equation of a line (finding C) Part 1

Finding the equation of a line part 2

Integrating Trig functions

Harder examples of trig functions (reverse chain rule )

Integrating Trig functions with powers (using double angles). Video 1 Video 2

Integration by inspection (reverse chain rule). Video 1 Video 2 using e^ Using ln x video 3 Hard example Video 4

Integration by substitution Video tutorial 1 Video tutorial 2

When to use what rule examples

Trigonometry

Trigonometric Ratios For 30°, 45° And 60°, Trig Ratios For Multiples Of 30°, 45° And 60° In this tutorial I show you how you can calculate the exact values of sin, cos and tan of 30°, 45° and 60° and their multiples, without a calculator by memorising some basic triangles as seen in the video.

Exact Trigonometric values using Fingers! In this tutorial, we can find the exact values of the trigonometry of basic angles (0, 30, 45, 60 and 90 degrees) simply using fingers. Learn this in less than 10 min.

Trig graphs. Here I show you how the graphs of sin θ and cos θ can be thought of as projections of the unit circle and also how to draw the graph of tan θ. I also look at some of their properties.

The start of transformations

Trig graphs. Combining all, example 2

Amplitude, period and frequency. Tutorial 1

A video to cover all

Trigonometry Identities

The first two trig identities. They are very important and should be learnt. Generally you are not asked to prove them but just use them. They form the basis for many more other identities. In this video I explain how they are proved though.

Trig Identities 1. Proving trig identities example 1. Example 2, Example 3

Simplifying an expression using double angle formula

Solving Trig equations

Using the quadrant method

This link takes you to a set of 7 videos using the CAST or quadrant method. Video tutorial

Solving normal equations graphically

Video tutorial 1,

Video tutorial 2 by Mr Wells

Example 2

Example 3 - example of change the range or don't

Example 4 - why I change the range

Solving quadratic trig equations