Derivative of the product of two linear factors: Find the derivative of

First apply the Product Rule (see also the annotated version):

Carry out the differentiation to get

Of course with these simple factors, we could have multiplied the original factors first and then differentiated. (This is not always easy to do.) In this way,

If we differentiate this form, we should get the same result:
, as before.

Test problem: Evaluate

a)

b)

c)

d)

e)