Find the points of local maxima and minima of the function f given by ` f(x)= x^(3)-12x^(2)+36x+5` .

Explanation

To find the points of local maxima and minima for the function \( f(x) = x^3 - 12x^2 + 36x + 5 \), we will follow these steps:

### Step 1: Find the first derivative of the function
To find the critical points, we first need to compute the first derivative of the function \( f(x) \).

\[ f'(x) = \frac{d}{dx}(x^3 - 12x^2 + 36x + 5) \]
...