Differentiation   Refresher

First Principles reminder

 

General rules

Examples

 

Examples

 

 

Sum Rule

 

Examples

 

 

Examples

 

 

 

 

The Chain rule

 

or in Leibnitz notation

 

Example

Longer questions use a continuation

 

Example

 

 

Product Rule  (Advanced Higher)

 

 

Examples

Don’t forget the chain rule!

 

Quotient Rule (Advanced Higher)

 

 

Example

 

Trig functions

Example

 

 

Example

Example

 

Example

 

Example

Example

 

Logarithms and Exponentials

Examples

 

Examples

Differentiate a^x