# Math Help - Derivative of y = x+sqrt(x) using definition of derivative.

1. ## Derivative of y = x+sqrt(x) using definition of derivative.

Can someone help me find the derivative of f(x)=x+sqrt(x) using f'(x)=lim--> 0 [f(x+h)-f(h)/h]?

Thanks!

2. $\displaystyle\lim_{x\to 0} \frac{f(x+h)-f(x)}{h}= \lim_{x\to 0} \frac{((x+h)+\sqrt{x+h})-(x+\sqrt{x})}{h}$

What next?

3. i got it from here (after some algebra and conjugate multiplication). i was reading the definition of the derivative wrong... its should have been -f(x) not -f(h). Thanks for the help!