Calculus Examples

$y = x^{2}$ , $x = 2$

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 2$ .

$2 x$

Evaluate the derivative at $x = 2$ .

$2 (2)$

Multiply $2$ by $2$ .

$4$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$