Calculus Examples

$0.5 x^{2}$

Step 1

Since $0.5$ is constant with respect to $x$ , the derivative of $0.5 x^{2}$ with respect to $x$ is $0.5 \frac{d}{d x} [x^{2}]$ .

$0.5 \frac{d}{d x} [x^{2}]$

Step 2

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

$0.5 (2 x)$

Step 3

Multiply.

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Step 3.1

Multiply $2$ by $0.5$ .

$1 x$

Step 3.2

Multiply $x$ by $1$ .

$x$