A Level Maths Notes: C3 - Differentiation – The Product Rule
You may know hoe to
differentiate a simple function such as
or
Generally
functions are built out of these simple functions to make more
complicated functions and we must learn to differentiate these more
complicated functions too. The simplest way two functions can be
combined to make a more complicated function is to multiply them.
Then they can be differentiated using the product rule:
The Product Rule:
If a function h consists of
two simpler functions
and
multiplied
together, then
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
The product rule can be used repeatedly with any number of products.
If a function h consists of
three simpler functions
andmultiplied
together, then
Example: Differentiate
