Find intervals in which the function given by `f(x)=3/(10)x^4-4/5x^3-3x^2+(36)/5+11`is (a) strictly increasing (b) strictly decreasing.

Explanation

To find the intervals in which the function \( f(x) = \frac{3}{10}x^4 - \frac{4}{5}x^3 - 3x^2 + \frac{36}{5} + 11 \) is strictly increasing or strictly decreasing, we will follow these steps:

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

\[ f'(x) = \frac{d}{dx} \left( \frac{3}{10}x^4 - \frac{4}{5}x^3 - 3x^2 + \frac{36}{5} + 11 \right) \]
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