Find the intervals in which `f(x)=4x^(3)-45x^(2)+168x-16` is (i) Strictly increasing (ii) Strictly decreasing

Explanation

To find the intervals in which the function \( f(x) = 4x^3 - 45x^2 + 168x - 16 \) is strictly increasing and strictly decreasing, we will follow these steps:

### Step 1: Find the derivative of the function
The first step is to find the derivative \( f'(x) \).

\[ f'(x) = \frac{d}{dx}(4x^3 - 45x^2 + 168x - 16) \]
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