find $\frac{d}{dx}(5x - 8)$. $\frac{d}{dx}(5x - 8)=square$

Explanation:

Step1: Apply sum - difference rule

$\frac{d}{dx}(5x - 8)=\frac{d}{dx}(5x)-\frac{d}{dx}(8)$

Step2: Use constant - multiple rule

$\frac{d}{dx}(5x)=5\frac{d}{dx}(x)$ and $\frac{d}{dx}(8) = 0$ (derivative of a constant is 0)

Step3: Recall derivative of $x$

Since $\frac{d}{dx}(x)=1$, then $5\frac{d}{dx}(x)=5\times1 = 5$

Answer:

$5$