On-line Math 21

On-line Math 21

3.1  Trigonometric functions

3.1.1  Derivatives of sin(x) and cos(x) .

Example 3 Find (x3cos(x))¢.

Solution


( x3cos(x)) ¢
=
(x3)¢cos(x)+x3(cos(x))¢, by the product rule,
=
3x2cos(x)+x3(-sin(x))
=
3x2cos(x)-x3sin(x).

Copyright (c) 2000 by David L. Johnson.


File translated from TEX by TTH, version 2.61.
On 26 Nov 2000, 23:14.