The three rules are given bythe formulae
Product Rule 
Quotient Rule 
Chain Rule 
For each of these rules you can complete the table
|
u |
v |
|
u' |
v' |
Then sub into the formula
Examples
Differentiate 
|
u |
v |
|
u' 1 |
v' |
Differentiate 
|
u |
v x |
|
u' |
v' 1 |
Differentiate
|
u |
v |
| u' \[cos v\] |
v' |
\[(u(v))'=v'u'(v)=(2x+1)cos(x^2+x)\]