The Product Rule, which we covered in class on Tuesday (Oct 18), is the following (from Sec 3.3 of the textbook)–it shows how to compute the derivative of the product f*g (i.e., f(x)*g(x)):
We covered the following example from the textbook, which is very similar to a couple of the WebWork exercises:
See also the following example:
The Quotient Rule (covered in class on Thurs Oct 20) is the following–it shows how to compute the derivative of the quotient function f/g (i.e., f(x)/g(x)):
It may be helpful to think of the quotient rule in terms of the “top” (numerator) function and “bottom” (denominator) function. Here is how I wrote the quotient rule in class today:
Finally, here is an example from the textbook (in this example, the “top” function is 5x^2 and the “bottom” function is 4x+3):
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