## appleduardo 3 years ago how can i derivate the following function?

1. appleduardo

$\frac{ 1 }{ x \sqrt{x} }$

2. anonymous

(-3)/(2x^5/2)

3. appleduardo

how did u get that?

4. anonymous

take the sqrt x which equals x^1/2 adding in x you get x^3/2. Then do the derivative. You could even move the denominator to the top making it x^-3/2. that might make it easier.

5. anonymous

$\frac{ 1 }{x^{n} } = x^{-n}$ You can also multiply the terms in the denominator since $\sqrt[n]{x} = x^{\frac{ 1 }{ n }}$ and $x^{n}x^{m} = x ^{n+m}$