Tutorials
For the basics of differentiation and what you were supposed to know from Cambridge or NCEA 3.6, click here
Differentiation from first principals
How to differentiate from1st principals Tutorial
Differentiating X cubed from 1st Principals. Tutorial
Proving the Product rule Tutorial
Proving the quotient rule Tutorial
Differentiating sin x Tutorial Note, you need to have studied trig compound angles and small angles first
Rates of change
Tutorial 2, connected rates of change, example 2, (different teacher )example 3
Exam question for rates of change are very common. Please watch and try these.
Graphs of rational functions, introducing limits, continuity and differentiability
Graphs of rational functions
Tutorial for 3 different examples that cover all. Click here
Limits
Introduction to limits. Video 1
Another introduction. Tutorial from Khan academy and therefore has questions you can do (f you use their site) Click here
More limit examples. Click
Limits using sinx/x. Tutorial
Limits with infinity Video
Limits from graphs with continuous functions
Limits from graphs with holes in or non continuous functions. Video. Examples
The squeeze theorem
Notes
https://ximera.osu.edu/mooculus/calculus1/limitLaws/digInTheSqueezeTheorem
Video
https://www.youtube.com/watch?v=igJdDN-DPgA
Differentiability