Find the absolute maximum and absolute minimum vlaues of a function f given by `f(x)=2x^(3)-15x^(2)+36x+3` on the interval [0,6] .

Explanation

To find the absolute maximum and absolute minimum values of the function \( f(x) = 2x^3 - 15x^2 + 36x + 3 \) on the interval \([0, 6]\), we will follow these steps:

### Step 1: Find the derivative of the function
First, we need to find the derivative of the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}(2x^3 - 15x^2 + 36x + 3) \]
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