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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'

\[(u(v))'=v'u'(v)=(2x+1)cos(x^2+x)\]

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