The Product Rule
Introduction
{
f
(x)
g
(x)}
'
=
f
(x)
g
'
(x) +
f
'
(x)
g
(x)
That is, the derivative of a product is the first factor times the derivative of the second plus the second factor times the derivative of the first.
Applet
Explanation
Practice
Differentiate the following function
(1) y = x
2
(3x+1).
(2) y = e
x
cos x.
(3) y = sin x cos x.
answer
