Could you show me how to find derivative of $\displaystyle f(x)=\dfrac{5}{\sqrt{x}}$ ?
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Originally Posted by Bernice Could you show me how to find derivative of $\displaystyle f(x)=\dfrac{5}{\sqrt{x}}$ ? Rewrite as $\displaystyle f(x)=5x^{-1/2},$ and then use the power rule.
Rewrite as $\displaystyle f(x)=5x^{-1/2},$ and then use the power rule. So, will it be:$\displaystyle \frac{-5\sqrt{x}}{2x^2} $
Yes, but I think it's also acceptable to write it (and generally would more often be written) as $\displaystyle -\frac{5}{2x^{\frac{3}{2}}}$ (although the positioning of the negative sign is irrelevant >.>)
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