Calculus Examples

$f (x) = \log (2) (8 x)$

Step 1

Move $8$ to the left of $\log (2)$ .

$\frac{d}{d x} [8 \cdot \log (2) x]$

Step 2

Since $8 \log (2)$ is constant with respect to $x$ , the derivative of $8 \log (2) x$ with respect to $x$ is $8 \log (2) \frac{d}{d x} [x]$ .

$8 \log (2) \frac{d}{d x} [x]$

Step 3

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

$8 \log (2) \cdot 1$

Step 4

Multiply $8$ by $1$ .

$8 \log (2)$