Calculus Examples

$y = t (\ln ({(4 t)}^{2}))$

Step 1

Factor $4$ out of $4 t$ .

$\frac{d}{d t} [t (\ln ({(4 (t))}^{2}))]$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $4 (t)$ .

$\frac{d}{d t} [t (\ln (4^{2} t^{2}))]$

Step 2.2

Raise $4$ to the power of $2$ .

$\frac{d}{d t} [t (\ln (16 t^{2}))]$

$\frac{d}{d t} [t (\ln (16 t^{2}))]$

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