Differentiation - The Product Rule
You may know hoe todifferentiate a simple function such asorGenerallyfunctions 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:
If a function h consists oftwo simpler functionsandmultipliedtogether, then
It is a good habit to getinto to write downandthen you can just substitute them into the expression for
The product rule can be used repeatedly with any number ofproducts.
If a function h consists ofthree simpler functionsandmultipliedtogether, then