Calculus Examples

Differentiate $y = 4 \log_{3} (t)$

Step 1

Since $4$ is constant with respect to $t$ , the derivative of $4 \log_{3} (t)$ with respect to $t$ is $4 \frac{d}{d t} [\log_{3} (t)]$ .

$4 \frac{d}{d t} [\log_{3} (t)]$

Step 2

The derivative of $\log_{3} (t)$ with respect to $t$ is $\frac{1}{t \ln (3)}$ .

$4 \frac{1}{t \ln (3)}$

Step 3

Combine $4$ and $\frac{1}{t \ln (3)}$ .

$\frac{4}{t \ln (3)}$