Draw the graph of `y=x^(3//5)`

Explanation

We have `y=f(x) = x^(3//5)`
Domain of the function is R.
`f(0)=0`
`f(x) gt0` for `x gt 0`
`f(x) lt 0` for `x lt 0`
`f^(')(x) = 3/(5x^(2//3)) gt 0` for all `x in R`.
`f(x)` is increasing.
Also,`f^(')(x)` is non-differentiable as `y=f(x)` has a vertical tangent here.
`f^('')(x) = -6/(25x^(7//5)`
`f^('')(x) gt 0` for `x gt 0`, where the graph is concave upward and `f^('')(x) lt 0` for `x gt0`, where the graph is concave downward.
The graph of the function is as shown in the following figure.