Find absolute maximum and minimum values of a function f given by `f(x)=12 x^(4/3)-6x^(1/3), x in [-1,1]`.

Explanation

To find the absolute maximum and minimum values of the function \( f(x) = 12x^{4/3} - 6x^{1/3} \) on the interval \([-1, 1]\), we will follow these steps:

### Step 1: Find the derivative of the function
We start by differentiating the function \( f(x) \):
\[ f'(x) = \frac{d}{dx}(12x^{4/3}) - \frac{d}{dx}(6x^{1/3}) \]
Using the power rule:
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