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
