## appleduardo 2 years ago how can i derivate the following function?

1. appleduardo

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

2. JVitato1

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

3. appleduardo

how did u get that?

4. JVitato1

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. Kuromeru

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