Calculus Examples

$f (2 x) = {(2 x)}^{3} - 4 (2 x)$

Step 1

Apply the product rule to $2 x$ .

$f (2 x) = 2^{3} x^{3} - 4 (2 x)$

Step 2

Raise $2$ to the power of $3$ .

$f (2 x) = 8 x^{3} - 4 (2 x)$

Step 3

Multiply $2$ by $- 4$ .

$f (2 x) = 8 x^{3} - 8 x$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$