On-line Math 21

2.3  Higher Derivatives

Example 1 Find the following derivative:

( sin(x)) ¢¢.

Solution

Since f(x) = sin(x) , the first derivative f¢(x) is just f¢(x) = cos(x) .

To find the second derivative of f , jst do it again,

f¢¢(x) = ( f¢(x)) ¢ = ( cos(x)) ¢ = -sin(x).

Copyright (c) 2000 by David L. Johnson.