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Math Help - first principle help!!

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    first principle help!!

    k
    Last edited by crystal91; January 19th 2010 at 09:38 AM.
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  2. #2
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    f(x+h) = \sqrt{2(x+h)}<br />

    f(x) = \sqrt{2x}

    \frac{\sqrt{2(x+h)} - \sqrt{2x}}{h} \cdot \frac{\sqrt{2(x+h)}+ \sqrt{2x}}{\sqrt{2(x+h)}+ \sqrt{2x}}

    \frac{2(x+h) - (2x)}{h\left[\sqrt{2(x+h)}+ \sqrt{2x}\right]}

    \frac{2h}{h\left[\sqrt{2(x+h)}+ \sqrt{2x}\right]}

    \frac{2}{\sqrt{2(x+h)}+ \sqrt{2x}}

    \lim_{h \to 0} \frac{2}{\sqrt{2(x+h)}+ \sqrt{2x}} = \frac{2}{2\sqrt{2x}} = \frac{1}{\sqrt{2x}}
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