$\displaystyle \frac{d}{dx} \frac{1}{\sqrt{x}}$ I feel retarded. I know how to find derivatives using the power rule and such but I'm having the hardest time doing this one Please help.
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It is just algebra. $\displaystyle \displaystyle \frac{1} {{\sqrt {x + h} }} - \frac{1} {{\sqrt x }} = \frac{{\sqrt x - \sqrt {x + h} }} {{\sqrt x \sqrt {x + h} }} = \frac{{ - h}} {{\sqrt x \sqrt {x + h} \left( {\sqrt x + \sqrt {x + h} } \right)}} $
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