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Recoginising different forms of calculus notation.
", "licence": "None specified"}, "statement": "", "advice": "It is better to be consistent with the notation given in the question, so in this case so we shouldn't change notation from $f(x)=...$, to $y= ...$, therefore $\\frac{dy}{dx} = ...$ is not correct, because $y$ has not been defined.
\nThe second two options are both correct as $f'$ and $\\frac{d}{dx}$ are both acceptable ways of showing a that a function has been differentiated.
Further notes available:
https://bathmash.github.io/notation/
\\\\[\\\\frac{d\\\\var{y}}{d\\\\var{x}} = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]
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Which expressions shows the first derivative with respect to $\\var{x}$?