Find the maximum value of `2x^3-24 x+107`in the interval [1, 3]. Find the maximum value of the same function in `[-3, -1]dot`

Explanation

To find the maximum value of the function \( f(x) = 2x^3 - 24x + 107 \) in the intervals \([1, 3]\) and \([-3, -1]\), we will follow these steps:

### Step 1: Find the derivative of the function
The first step is to differentiate the function to find the critical points.

\[ f'(x) = \frac{d}{dx}(2x^3 - 24x + 107) = 6x^2 - 24 \]
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