To differentiate the expression $4 \tan(x)$ with respect to $x$, we'll apply the standard differentiation rules.

Given expression:

$y = 4 \tan(x)$

Differentiating with respect to $x$:

$\frac{dy}{dx} = 4 \cdot \frac{d}{dx} [\tan(x)]$

The derivative of $\tan(x)$ is $\sec^2(x)$. So,

$\frac{dy}{dx} = 4 \sec^2(x)$

Final result:

$\frac{d}{dx} [4 \tan(x)] = 4 \sec^2(x)$

Would you like further details or have any questions?

Here are 5 related questions for you:

1. What is the derivative of $\sec(x)$ with respect to $x$?
2. Can you differentiate $\tan^2(x)$ with respect to $x$?
3. How would you differentiate $\tan(x^2)$ with respect to $x$?
4. How do