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Recoginising different forms of calculus notation.

", "licence": "None specified"}, "statement": "", "advice": "

You must not introduce a new variable without defining it first.

\n

Prime (the ' symbol) is a standard accepted form of notation.
D() is more common in some disciplines than others.

\n

Notes available:
https://bathmash.github.io/notation/

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\\\\[\\\\frac{d\\\\var{y}}{d\\\\var{x}} = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[\\\\frac{d^2\\\\var{y}}{d\\\\var{x}^2} =\\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[\\\\frac{d(\\\\simplify{{a*b}*{x}^{b-1}})}{d\\\\var{x}} = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[\\\\simplify{{a}*{x}^{b}+{c}} = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[D(\\\\var{y}) = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[(\\\\simplify{{a}*{x}^{b}+{c}})\\' = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[\\\\simplify{{a}*{x}^{b}+{c}} \\\\rightarrow \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[\\\\var{y}\\' = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[f\\'(\\\\var{x}) =\\\\simplify{{a*b}*{x}^{b-1}}\\\\]

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\\\\[\\\\frac{d}{d\\\\var{x}} (\\\\simplify{{a}*{x}^{b}+{c}}) = \\\\simplify{{a*b}*{x}^{b-1}}\\\\]

\\n

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the selected choices for the multiple choice

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\n



Which expressions shows the first derivative of $\\var{y}$ with respect to $\\var{x}$?

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