Differentiate `sqrtx+1/sqrtx-root(3)(x^2)`

Explanation

`y=sqrtx+1/sqrtx-root(3)(x^2)`
`x^(1/2)+x^(-1/2)-x^(2/3)`
`implies dy/dx=1/2x^(-1/2)-1/2x^(-3/2)-2/3x^(-1/3)`