Differentiate from first principle: $y = x^{2}$

2 x

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(x - 1)^{2}

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x^{3}

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\frac{1}{\sqrt{x}}

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Solution

The correct option is B $2 x$
$y = x^{2}$
From first principle,
$\begin{matrix} \frac{d (x^{n})}{d x} = n x^{n - 1} \frac{d y}{d x} = 2 x \end{matrix}$
Hence, A is correct.

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