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

  1. #1
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    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!
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  2. #2
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    \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?
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  3. #3
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    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!
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