Find all the points of local maxima and minima and the corresponding maximum and minimum values of the function `f(x)=2x^3-21x^2+36 x-20.`

Explanation

To find the local maxima and minima of the function \( f(x) = 2x^3 - 21x^2 + 36x - 20 \), we will follow these steps:

### Step 1: Find the first derivative of the function
We start by differentiating the function with respect to \( x \):

\[ f'(x) = \frac{d}{dx}(2x^3 - 21x^2 + 36x - 20) = 6x^2 - 42x + 36 \]
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