Calculus Examples

$f (t) = 2 t^{3}$

Step 1

Since $2$ is constant with respect to $t$ , the derivative of $2 t^{3}$ with respect to $t$ is $2 \frac{d}{d t} [t^{3}]$ .

$2 \frac{d}{d t} [t^{3}]$

Step 2

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

$2 (3 t^{2})$

Step 3

Multiply $3$ by $2$ .

$6 t^{2}$