On-line Math 21

2.1  The definition of the derivative

Example 4 Find f¢(x) for the function f(x) = Öx .

Solution

Using just the definition of the derivative, then plugging in for the function

f(x) = Öx,

we have

f¢(x) = lim h® 0  f(x+h)-f(x) h = lim h® 0    ___ Öx+h   -Öx h .

Next step

Copyright (c) 2000 by David L. Johnson.