You may know hoe todifferentiate a simple function such as
or
Generallyfunctions are built out of these simple functions to make morecomplicated functions and we must learn to differentiate these morecomplicated functions too. The simplest way two functions can becombined to make a more complicated function is to multiply them.Then they can be differentiated using the product rule:
The ProductRule:
If a function h consists oftwo simpler functions
and
multipliedtogether, then
Example: Differentiate
It is a good habit to getinto to write down
andthen you can just substitute them into the expression for
Example: Differentiate
The product rule can be used repeatedly with any number ofproducts.
If a function h consists ofthree simpler functions
andmultipliedtogether, then
Example: Differentiate
