Product Rule
You need to be able to differentiate the product of two functions:
This formula can also be written in function notation:
Note: Be careful in finding the two functions and differentiating the two functions seperately and be aware that you may need to use the chain rule in differentiatin the seperate functions.
Example 1:
Note: In questions in which your answer is a differentiated expression, they may ask you to put your answer into a specific form. So in addition to the differentiation, you may have to use algebra manipulation to get it into that answer. The last step of the first example is not necessary, but was done to show that it can be rearranged into that form.
Example 2:
Practice Question:
