O Level Additional Maths Notes: Differentiation – The Quotient Rule
The quotient rule is used
when two functions are divided – they form a quotient of the form
The Quotient Rule:
If a function h consists of
two simpler functions
and
with
then
(1)
Proof:
At this point we perform the
sort of trick common in maths. We take
from
the first term and add it to the second. We can then factorise and
simplify.
and
and
if we we let
then
in the denominator,
We
then obtain (1).
Example: Differentiate
It is a good habit to get
into to write down
and
then you can just substitute them into the expression for
Example: Differentiate
