Finding the Derivative of a Square Root Function

[gomes.]

function --- derivative (help!)

Homework Statement

[PLAIN]http://img15.imageshack.us/img15/705/123gm.jpg

but instead of f(x)=x^-2, let f(x) = x^(1/2 )

The Attempt at a Solution

So, I did

[ (x+h)^1/2 - (x)^1/2 ]/ h

But I am not sure how to simplify it. What would be my next step? Thanks a lot :)

 

[LCKurtz]

Homework Statement

[PLAIN]http://img15.imageshack.us/img15/705/123gm.jpg

but instead of f(x)=x^-2, let f(x) = x^(1/2 )

The Attempt at a Solution

So, I did

[ (x+h)^1/2 - (x)^1/2 ]/ h

But I am not sure how to simplify it. What would be my next step? Thanks a lot :)

Rationalize the numerator. (Like rationalizing the denominator, only opposite)

 

[gomes.]

Ah okay, yea I got it now. thanks :)