Differentiation - Product, Quotient, Chain Rules
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' |
\[(u(v))'=v'u'(v)=(2x+1)cos(x^2+x)\]