On-line Math 21

On-line Math 21

2.2  Differentiation Rules

Example 4 Find the derivative of
f(x) = x2+2
x2+3x+3

Solution


f¢(x)
=
æ
ç
è 		x2+2
x2+3x+3
 ö
÷
ø 		¢
=
(x2+2)¢(x2+3x+3)-(x2+3x+3)¢(x2+2)
(x2+3x+3)2
=
(2x)(x2+3x+3)-(2x+3)(x2+2)
(x2+3x+3)2
 .
As before, we stop here. Don't simplify this expression, unless you need to use it to compute something else; which of course you don't have to do here.

Copyright (c) 2000 by David L. Johnson.

File translated from TEX by TTH, version 2.61.
On 14 Nov 2000, 21:21.