Precalculus Examples

$f (x) = 5 x^{18}$

Step 1

Since $5$ is constant with respect to $x$ , the derivative of $5 x^{18}$ with respect to $x$ is $5 \frac{d}{d x} [x^{18}]$ .

$5 \frac{d}{d x} [x^{18}]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d x} [x^{n}]$ is $n x^{n - 1}$ where $n = 18$ .

$5 (18 x^{17})$

Step 3

Multiply $18$ by $5$ .

$90 x^{17}$