Question

how can i derivate the following function?

Answer 1

\[\frac{ 1 }{ x \sqrt{x} }\]

Answer 2

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

Answer 3

how did u get that?

Answer 4

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.

Answer 5

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