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!

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- Sep 1st 2010, 02:13 PMsdh2106Derivative 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! - Sep 1st 2010, 02:24 PMpickslides
$\displaystyle \displaystyle\lim_{x\to 0} \frac{f(x+h)-f(x)}{h}= \lim_{x\to 0} \frac{((x+h)+\sqrt{x+h})-(x+\sqrt{x})}{h}$

What next? - Sep 1st 2010, 02:29 PMsdh2106
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!