Calculus Examples

$f (x) = t (8 - 15 \sqrt[3]{t})$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{t}$ as $t^{\frac{1}{3}}$ .

$\frac{d}{d t} [t (8 - 15 t^{\frac{1}{3}})]$

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