Find the intervals on which the function `f(x) = x^(3) + 3x^(2) - 105x + 25` is (a) increasing (b) decreasing

Explanation

To find the intervals on which the function \( f(x) = x^3 + 3x^2 - 105x + 25 \) is increasing or decreasing, we will follow these steps:

### Step 1: Find the derivative of the function
The first step is to differentiate the function \( f(x) \) to find \( f'(x) \).

\[ f'(x) = \frac{d}{dx}(x^3 + 3x^2 - 105x + 25) \]
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