Find the intervals in which `f(x)=3x^4-4x^3-12 x^2+5` is increasing or decreasing.

Explanation

To find the intervals in which the function \( f(x) = 3x^4 - 4x^3 - 12x^2 + 5 \) is increasing or decreasing, we will follow these steps:

### Step 1: Find the derivative \( f'(x) \)

The first step is to differentiate the function \( f(x) \).

\[
f'(x) = \frac{d}{dx}(3x^4 - 4x^3 - 12x^2 + 5)
...