Calculus Examples

$\frac{- x}{2}$

Step 1

Move the negative in front of the fraction.

$\frac{d}{d x} [- \frac{x}{2}]$

Step 2

Since $- \frac{1}{2}$ is constant with respect to $x$ , the derivative of $- \frac{x}{2}$ with respect to $x$ is $- \frac{1}{2} \frac{d}{d x} [x]$ .

$- \frac{1}{2} \frac{d}{d x} [x]$

Step 3

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

$- \frac{1}{2} \cdot 1$

Step 4

Multiply $- 1$ by $1$ .

$- \frac{1}{2}$