## 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'

$(u(v))'=v'u'(v)=(2x+1)cos(x^2+x)$