Derivative

**Bernice** · March 21st 2009, 12:10 PM

Could you show me how to find derivative of $f(x)=\dfrac{5}{\sqrt{x}}$ ?

**Reckoner** · March 21st 2009, 12:16 PM

Originally Posted by Bernice

Could you show me how to find derivative of $f(x)=\dfrac{5}{\sqrt{x}}$ ?

Rewrite as $f(x)=5x^{-1/2},$ and then use the power rule.

**Bernice** · March 21st 2009, 12:28 PM

Rewrite as $f(x)=5x^{-1/2},$ and then use the power rule.

So, will it be: $\frac{-5\sqrt{x}}{2x^2}$

**Zizoo** · March 21st 2009, 01:31 PM

Yes, but I think it's also acceptable to write it (and generally would more often be written) as $-\frac{5}{2x^{\frac{3}{2}}}$ (although the positioning of the negative sign is irrelevant >.>)

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