In this case we have fractions and negative numbers for the powers of x. (So it is not a polynomial).

The differentiation rules still apply.

`y=x^(1//4)-2/x`

We can write this as:

`y=x^(1//4)-2x^-1`

Differentiating gives us:

`(dy)/(dx)=1/4x^(1/4-1)-2(-1)x^(-1-1`

`=1/4x^(-3//4)+2x^-2`

`=1/(4x^(3//4))+2/x^2`

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