Finding the derivative of f(x) = x + √x using the definition

[synergix]

Homework Statement

Find the derivative of the function using the definition of derivative. state the domain of the function and the derivative.

f(x)= x +sqrt(x)

The Attempt at a Solution

lim f(x)= [x+h+sqrt(x+h) -x -sqrt(x)]/h
h-->0

limf(x)=[h + sqrt(x+h) - sqrt(x)]/h
h->0

not sure how to proceed?

 

[LCKurtz]

Separate out the h/h term and rationalize the numerator in what is left.