Find the intervals in which the function f given by `f(x)=2x^3-3x^2-36 x+7`is (a) strictly increasing (b) strictly decreasing

Explanation

To solve the problem of finding the intervals in which the function \( f(x) = 2x^3 - 3x^2 - 36x + 7 \) is strictly increasing or strictly decreasing, we will follow these steps:

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

\[ f'(x) = \frac{d}{dx}(2x^3 - 3x^2 - 36x + 7) \]
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