Find the intervals in which f(x) `=x^(3)-2x^(3) -4x +7` is increasing

Explanation

To find the intervals in which the function \( f(x) = x^3 - 2x^2 - 4x + 7 \) is increasing, we will follow these steps:

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

\[ f'(x) = \frac{d}{dx}(x^3 - 2x^2 - 4x + 7) \]
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