Calculus Examples

$6 t^{3}$

Step 1

Since $6$ is constant with respect to $t$ , the derivative of $6 t^{3}$ with respect to $t$ is $6 \frac{d}{d t} [t^{3}]$ .

$6 \frac{d}{d t} [t^{3}]$

Step 2

Differentiate using the Power Rule which states that $\frac{d}{d t} [t^{n}]$ is $n t^{n - 1}$ where $n = 3$ .

$6 (3 t^{2})$

Step 3

Multiply $3$ by $6$ .

$18 t^{2}$